Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dw |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
6.7654650816947E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33155933,72418375397] |
[a1,a2,a3,a4,a6] |
j |
46999332667159819129/788827220213760 |
j-invariant |
L |
4.843667233795 |
L(r)(E,1)/r! |
Ω |
0.11008334627322 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110bd1 8190bw1 |
Quadratic twists by: -3 -7 |