Atkin-Lehner |
3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
22725g |
Isogeny class |
Conductor |
22725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
5502581632828125 = 320 · 56 · 101 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 2 3 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-44400,479281] |
[a1,a2,a3,a4,a6] |
j |
849816322048/483079869 |
j-invariant |
L |
0.73619421115242 |
L(r)(E,1)/r! |
Ω |
0.3680971055762 |
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 |
7575a1 909a1 |
Quadratic twists by: -3 5 |