Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798bj |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
10450944 |
Modular degree for the optimal curve |
Δ |
-7.5788360886779E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,19693876,-24960248881] |
[a1,a2,a3,a4,a6] |
Generators |
[1557:96565:1] |
Generators of the group modulo torsion |
j |
240065464752030527/215384711233536 |
j-invariant |
L |
6.8095171135535 |
L(r)(E,1)/r! |
Ω |
0.049341836008076 |
Real period |
R |
1.916763424854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19266h1 4446j1 |
Quadratic twists by: -3 13 |