Atkin-Lehner |
2- 19+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
31312l |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2526720 |
Modular degree for the optimal curve |
Δ |
6.7911177520556E+23 |
Discriminant |
Eigenvalues |
2- -1 0 1 -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80425608,-274740193040] |
[a1,a2,a3,a4,a6] |
j |
14045811244682967594015625/165798773243544993232 |
j-invariant |
L |
0.20179986450143 |
L(r)(E,1)/r! |
Ω |
0.050449966126641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3914c1 125248be1 |
Quadratic twists by: -4 8 |