@taheje some of the pp have said about their dps getting tattoos & now hating their ex, well that actually doesn't mean they didn't love them a lot...
But OP, the issue you have is that it's a visible sign of their relationship, it's a lot easier for people to deal with past relationships when it's not in their face, along with believing their dp saying how bad their relationship was.
It really doesn't matter if he loved her, he loves you now. You don't know what the conversation was about this tattoo either, why he got it.
My ex got my whole name, including my middle name, along with four dates in the shape of a heart. It's the size of a hand on his chest. He did it cause he had cheated.
Another ex got my name on the back of his neck 😆 he was young & very dumb, we weren't even really dating.
Funny thing is I've never had a tattoo, & have never wanted my name on anyone, doesn't show me love.
You need to work on this, have a conversation with him.