Atkin-Lehner |
3- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
909a |
Isogeny class |
Conductor |
909 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
896 |
Modular degree for the optimal curve |
Δ |
352165224501 = 320 · 101 |
Discriminant |
Eigenvalues |
0 3- 3 0 2 -3 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1776,3834] |
[a1,a2,a3,a4,a6] |
j |
849816322048/483079869 |
j-invariant |
L |
1.6461803007786 |
L(r)(E,1)/r! |
Ω |
0.8230901503893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14544v1 58176bj1 303a1 22725g1 |
Quadratic twists by: -4 8 -3 5 |