TODO: [ ] Add r=/=deg(phi) and mult 1 examples. [ ] Investigate Steven's book in connection with Bjorne's suggestion. [X] Make a real index!! [ ] Search for typos and spelling mistakes. [ ] Fix bibtex errors. [ ] Fix all LaTeX overfulls DONE: [x] Bjorn's comments. [X] proof read [X] spell check [x] redundancies in the index. [x] fix comp groups tables. [x] Make notation consistent: | |'s for #'s [X] Fix section sec:realmeasure. [x] check that exactness! [x] Describe/format tables in Chapter 1 [x] Write up visibility theorem. [x] rewrite the abstract. [X] Rewrite acknowledgments. [X] Fix section on rational torsion in quotient.tex. Get all of the rational torsion! [x] get ride of \includes, except for chapters... [x] Fix all broken \ref's! [X] Index: search online for advice on how to make a good one manin constant l-series special values shafarevich-tate tate-shaf ---^ tables hecke operators hecke algebra invisible visible component groups optimal quotients modular curve notation figures all people: mazur, lenstra, ribet, merel, etc. star involution atkin-lehner degeneracy manin symbol modular symbol boundary map dirichlet character rational period mapping modular degree cuspidal points volume monodromy bsd conjecture