It's double the baby joy for Jennifer Lopez and husband Marc Anthony: They're the proud new parents of twins, a boy and a girl, Lopez's manager tells PEOPLE exclusively.

The babies were born early Friday in Long Island, N.Y. The girl was born at 12:12 a.m. and weighed 5 lbs. 7 oz., and the boy followed at 12:23 a.m., weighing 6 lbs.

"Jennifer and Marc are delighted, thrilled and over the moon," Lopez's manager Simon Fields tells PEOPLE exclusively.

They're the first children for Lopez, 38, and the fourth and fifth for Anthony, 39. The couple celebrated the impending births with a baby shower in New York on Jan. 19. "They were just beaming the entire time," said one partygoer.

Longtime friend Leah Remini calls Lopez "a born mom" and very nurturing. "With our daughter, she's so great. I mean, lets her go in her closet and play with her coats or her jewelry. She's just so giving and loving," Remini said.

Lopez announced her pregnancy Nov. 8, telling the crowd during her final Miami concert: "Marc and I are expecting a baby!" The news of twins was finally confirmed by Lopez's dad earlier this month, in an interview on Spanish-language television.

aww yay! congratulations to jennifer lopez! That's so cute!