“Jennifer and Marc are delighted, thrilled and over the moon,” Lopez’s manager Simon Fields tells PEOPLE exclusively. Celebrity magazine People is reportedly offering upward of $6 million for the exclusive U.S. rights for the first photos of the babies. 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.

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.

The couple starred together last year in “El Cantante,” a film about salsa legend Hector Lavoe.
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