Atkin-Lehner |
2+ 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
55616q |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
24 |
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] |
Generators |
[410798:253755392:1] |
Generators of the group modulo torsion |
j |
1031530003248877226947940527881/601094928071655424 |
j-invariant |
L |
3.0105573454849 |
L(r)(E,1)/r! |
Ω |
0.062829673778253 |
Real period |
R |
1.9965070937812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55616u1 1738b1 |
Quadratic twists by: -4 8 |