Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616u |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74317824 |
Modular degree for the optimal curve |
Δ |
1.5757342882442E+23 |
Discriminant |
Eigenvalues |
2- 3 -1 -1 11+ -5 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13472019148,-601862313944176] |
[a1,a2,a3,a4,a6] |
j |
1031530003248877226947940527881/601094928071655424 |
j-invariant |
L |
4.5403192590047 |
L(r)(E,1)/r! |
Ω |
0.01401333104885 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616q1 13904i1 |
Quadratic twists by: -4 8 |