Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296bk |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4730880 |
Modular degree for the optimal curve |
Δ |
9.2885058175758E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-208353360,1157565013103] |
[a1,a2,a3,a4,a6] |
Generators |
[238924744602561325:-64599538348349555274:84171637140625] |
Generators of the group modulo torsion |
j |
85758608686785445101568000/796339662000667533 |
j-invariant |
L |
5.9564981495289 |
L(r)(E,1)/r! |
Ω |
0.11696844773463 |
Real period |
R |
25.461986821624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9324e1 12432v1 |
Quadratic twists by: -4 -3 |