Atkin-Lehner |
2- 5- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
56650bc |
Isogeny class |
Conductor |
56650 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
9031680 |
Modular degree for the optimal curve |
Δ |
-1.023911424448E+20 |
Discriminant |
Eigenvalues |
2- 2 5- 3 11- -3 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-130201638,571783658531] |
[a1,a2,a3,a4,a6] |
j |
-624903592457445777922945/262121324658688 |
j-invariant |
L |
8.6009731023807 |
L(r)(E,1)/r! |
Ω |
0.15358880545418 |
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 |
56650h1 |
Quadratic twists by: 5 |