Forget the Hollywood trend of wacky baby names. Jennifer Lopez and Marc Anthony's newborn twins have been dubbed Max and Emme, her rep confirmed to People.

The twin pack arrived just after midnight on Feb. 22, and the proud singing parents have received a gaggle of gifts for them -- including embroidered pillows with their names on them.

This is Jennifer's first experience with mommyhood, while Marc has three children from his previous marriage.