Still, most analysts don't expect the company to be profitable until 2015. Investors will be watching closely to see whether Twitter was worth the premium price.
Thursday's stock surge was "really not as important as you might think," said Kevin Landis, a portfolio manager with Firsthand Funds, who owns shares in Twitter. "What really matters is where the stock is going to be in six months, 12 months."
The most anticipated initial public offering of the year was carefully orchestrated to avoid the dysfunction that surrounded Facebook's debut.
Trading on the New York Stock Exchange under the symbol "TWTR," shares opened at $45.10, 73 percent above their initial offering price.
In the first few hours, the stock jumped as high as $50.09. Most of those gains held throughout the day, with Twitter closing at 44.90, despite a broader market decline.
The narrow price range indicated that people felt it was "pretty fairly priced," said JJ Kinahan, chief strategist at TD Ameritrade.
The price spike "clearly shows that demand exceeds the supply of shares," said Wedbush analyst Michael Pachter.
Earlier in the day, Twitter gave a few users rather than executives the opportunity to ring the NYSE's opening bell. The users included actor Patrick Stewart, who played Captain Jean-Luc Picard in "Star Trek: The Next Generation"; Vivienne Harr, a 9-year-old girl who ran a lemonade stand for a year to raise money to end child slavery; and Cheryl Fiandaca of the Boston Police Department.
Twitter raised $1.8 billion Wednesday night when it sold 70 million shares to select investors for $26 each. Had it priced the stock at $30, for instance, the company would have taken away $2.1 billion. At $35, it would have reaped nearly $2.5 billion.
"In hindsight, when you look at this, you almost think they left a little too much money on the table," Entner said.
Named after the sound of a chirping bird, Twitter's origins date back to 2005, when creators Noah Glass and Evan Williams were trying to get people to sign up for Odeo, a podcasting service they created. Odeo didn't make it.
By early 2006, Glass and fellow Odeo programmer Jack Dorsey began work on a new project: teaming with co-worker Christopher "Biz" Stone on a way to corral text messages typically sent over a phone.
It was Glass who came up with the original name Twttr. The two vowels were added later. The first tweets were sent on March 21, 2006.
By 2007, Twitter was incorporated with Dorsey as the original CEO and Williams as chairman. Dorsey and Williams would eventually swap roles. Both remain major shareholders, though neither runs the company. Glass, meanwhile, was effectively erased from Twitter's history, writes New York Times reporter Nick Bilton in "Hatching Twitter: A true story of money, power, friendship, and betrayal."
Since those early days, the site has attracted world leaders, religious icons and celebrities, along with CEOs, businesses and countless marketers and self-promoters.
The company tried to avoid the trouble that plagued Facebook's high-profile debut, which was marred by technical glitches. As a result, the Securities and Exchange Commission fined Nasdaq $10 million, the largest ever levied against an exchange.
The clumsy debut had lasting consequences for Facebook, which closed just 23 cents above its $38 IPO price on that first day and later fell much lower. The stock needed more than a year to climb back above $38.
Those problems likely led Twitter to the NYSE.
Thursday's trading went on "pretty flawlessly," Kinahan said.
Other tech stocks were down, with Facebook Inc. sliding $1.02, or 2.1 percent, to $48.10.
At its IPO price, Twitter was valued at roughly 28 times its projected 2013 revenue $650 million based on its current growth rate. In comparison, Facebook trades at about 16 times its projected 2013 revenue, according to analyst forecasts from FactSet.
Google Inc. meanwhile, is trading at about 7 times its net revenue, the figure Wall Street follows that excludes ad commissions.
Research firm Outsell Inc. puts Twitter's fundamental value at about half of the IPO price, says analyst Ken Doctor. That figure is based on factors such as revenue and revenue growth.
"That's not unusual," Doctor says. "Especially for tech companies. You are betting on a big future."
As a newly public company, one of Twitter's biggest challenges will be to generate more revenue outside the U.S.
More than three-quarters of Twitter's 232 million users are outside the U.S. But only 26 percent of Twitter's revenue comes from abroad. The company has said that it plans to hire more sales representatives in countries such as Australia, Brazil and Ireland.
Twitter shares entered a declining market.
Wall Street had its worst day since August as traders worried that the Federal Reserve could cut back on its economic stimulus.
The cause of that worry was a surprisingly strong report on U.S. economic growth in the third quarter, which led investors to believe the Fed could start pulling back as soon as next month, sooner than many anticipated.
After 33 record-high closes this year, an increasing number of investors believe the stock market has become frothy and is ready for a pullback.
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AP Technology Writer Michael Liedtke in San Francisco and AP Markets Writer Ken Sweet in New York contributed to this story.