Atkin-Lehner |
2- 3- 5- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610be |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
4915200 |
Modular degree for the optimal curve |
Δ |
1.6264053557774E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49223642,-132913181671] |
[a1,a2,a3,a4,a6] |
j |
18093284246487294898042969/22310087184875520 |
j-invariant |
L |
5.6997545198034 |
L(r)(E,1)/r! |
Ω |
0.056997545195979 |
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 |
18870j1 |
Quadratic twists by: -3 |