"I never knew how much love and pride I would feel," read "The X Factor" judge's caption on the photo showcased above, in which Eric rests on his daddy's chest.
The new dad continued to bubble on social media, saying, "The last three days have been incredible. Eric Lauren sqiddly and diddly all happy." Squiddly and Diddly, incidentally, are a couple of darling dogs who "love New York."
Eric Cowell was born on Valentine's Day, shortly after Cowell got off a private jet that had flown him in from London, where he was conducting "
It's a first child for the former "American Idol" judge, and the second for Silverman, who has an 8-year-old boy with her ex, Andrew Silverman.
[For the record, 5:13 p.m. Jan. 17: This post previously said Cowell was conducting "The X Factor" auditions when he left for New York. He was in fact doing "Britain's Got Talent" auditions."]