Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960bn |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2721082896000000 = 210 · 38 · 56 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35283,-456482] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:644:1] |
Generators of the group modulo torsion |
j |
6507178816324/3645140625 |
j-invariant |
L |
4.4543502549943 |
L(r)(E,1)/r! |
Ω |
0.3743596062146 |
Real period |
R |
2.9746466906481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115920be2 19320k2 |
Quadratic twists by: -4 -3 |