According to the Daily Mail, the couple decided to divorce after arguing over Lopez's plans to send their twins - Max and Emme - to a Scientology school, which Anthony is said to have disagreed with.
An insider close to the estranged pair told the newspaper: "Jennifer and Marc couldn't see eye-to-eye on the subject. She's always been more into the church than him. He wasn't a huge fan and it caused problems."
The Im Into You hitmaker previously mentioned back in 2008 about sending their children to the Church of Scientology school, claiming: "I wouldn't mind. Not at all. Because I know that the technologies that they have are very helpful."
The American Idol judge added: "It's all about communication. I just wish that people wouldn't judge it without knowing what it is."
J.Lo and Marc, who reportedly kept their split secret "for months", were also spotted together in New York last week, sparking rumours that they have reconciled.
Anthony's rep later denied he was back with Jen, stating: "The intention was to spend time with his kids Emme and Max, and they had a beautiful time. He's been with Max and Emme a few times now."
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