How old is your conure? Could be a Jenday or a Sun. Sun Conures and Jenday Conures look very similar as young birds, as they age the sun conures begin to get yellow on their wings and have more red around the face, while the Jenday never gets any yellow on the wing and develops an orange/red belly. The wings will stay green forever and never turn yellow.
Depending on its age, if he is over 2, then you have a Jenday. I feel like I see the slightest bit of yellow on his wing in the second photo, which makes me believe he is either a young sun or possible a hybrid of the two. In that case, some yellow will appear on the wings but the rest will remain green.