Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
55616s |
Isogeny class |
Conductor |
55616 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
23828724753856 = 26 · 112 · 795 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 11+ 7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31516,2151194] |
[a1,a2,a3,a4,a6] |
j |
54094211363273536/372323824279 |
j-invariant |
L |
1.3556918001206 |
L(r)(E,1)/r! |
Ω |
0.67784589991575 |
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 |
55616bc1 27808d1 |
Quadratic twists by: -4 8 |