Atkin-Lehner |
2- 3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300x |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
79004160 |
Modular degree for the optimal curve |
Δ |
-2.5037815458327E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,537673867,5910346420488] |
[a1,a2,a3,a4,a6] |
j |
68760731547875637947531264/100151261833306957519275 |
j-invariant |
L |
2.3036531323808 |
L(r)(E,1)/r! |
Ω |
0.025596148064383 |
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 |
23460h1 |
Quadratic twists by: 5 |