Atkin-Lehner |
2- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
25520o |
Isogeny class |
Conductor |
25520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
985046480 = 24 · 5 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1361,-18820] |
[a1,a2,a3,a4,a6] |
j |
17438019764224/61565405 |
j-invariant |
L |
1.5722826942541 |
L(r)(E,1)/r! |
Ω |
0.78614134712707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6380a1 102080bp1 127600bg1 |
Quadratic twists by: -4 8 5 |