Atkin-Lehner |
2- 5+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
119350bn |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
deg |
101606400 |
Modular degree for the optimal curve |
Δ |
-2.648315332659E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1889493388,31621941156781] |
[a1,a2,a3,a4,a6] |
j |
-47746310242879869583883397625/16949218129017342902272 |
j-invariant |
L |
9.0928979590365 |
L(r)(E,1)/r! |
Ω |
0.054124399241043 |
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 |
4774e1 |
Quadratic twists by: 5 |