Abstract
Fix p an odd prime. Let E be an elliptic curve over Q with semistable reduction at p. We show that the adjoint p-adic L-function of E evaluated at infinitely many integers prime to p completely determines up to a quadratic twist the isogeny class of E. To do this, we prove a result on the determination of isobaric representations of GL(3,AQ) by certain L-values of p-power twists.
Original language | English (US) |
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Pages (from-to) | 156-181 |
Number of pages | 26 |
Journal | Journal of Number Theory |
Volume | 152 |
DOIs | |
State | Published - Jul 1 2015 |
Keywords
- Elliptic curve
- L-function
- P-adic L-function
ASJC Scopus subject areas
- Algebra and Number Theory