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Dear Akhil,
The generic answer to your question is as follows:
When writing a letter for an undergrad (who is not a senior thesis advisee or in some similarly close relationship), I (and I suspect most people) take into account the following: the performance of the student in the very classes they have taken with me, including their grade, their ranking in the class, and the overall difficulty of the class, together with whatever sparkle they have given off in discussions during class or office hours. (As Noah suggests, office hours are typically better for this than class, since there is more time to discuss and interact, and one can do so on topics other than those directly relevant to the class.)
I suspect that in your case, the generic answer is fairly irrelevant, though. Noah has given you some advice that is more tailored to your particular situation, and it sounds good to me. Just to reiterate his advice: given all the math you have been teaching yourself, surely you must have some questions. Instead of just asking them on MO, discuss them with your instructors. (Don't worry about whether they have any connection with what you are studying in your course.) Most professors enjoy discussing mathematics with bright students; indeed, this is typically the biggest reward of teaching.
By the way, the exhortation to discuss mathematics with the people around you (including other undergrads, grad students, post-docs, professors) extends beyond the issue of just getting letters of recommendation. It's a great way to learn things and to improve your understanding, and some of the people that you meet will become life-long friends and colleagues.
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