Atkin-Lehner |
11+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53911b |
Isogeny class |
Conductor |
53911 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
8682420461 = 116 · 132 · 29 |
Discriminant |
Eigenvalues |
2 -2 3 0 11+ 13+ -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-654,-4845] |
[a1,a2,a3,a4,a6] |
j |
183330254848/51375269 |
j-invariant |
L |
1.9279379135569 |
L(r)(E,1)/r! |
Ω |
0.96396895761692 |
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 |
53911e1 |
Quadratic twists by: 13 |