Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
8700p |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-1.3166243180859E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 3 -3 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5531758,-5039935387] |
[a1,a2,a3,a4,a6] |
j |
-74881286942075067136/526649727234375 |
j-invariant |
L |
1.8696266910704 |
L(r)(E,1)/r! |
Ω |
0.049200702396589 |
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 |
34800cc1 26100q1 1740d1 |
Quadratic twists by: -4 -3 5 |