Include the course description, omit the info about the prof’s Yale degrees. Completely irrelevant.
You seem to think his pedigree means something special about you – it doesn’t. It was serendipity and everyone knows it. What if he was a Stanford alum? Or a Akron State university alum? Would it be a negative? Then why would Yale think that his being a Yale alum is a positive?
The only benefit is that you performed well in a course (which I assume is normal for you). I get that you’re trying to put your best package together. Focus on other areas. This prof’s background isn’t the hoped for boost you thought it might be. Good luck.