Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624bw |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
33868800 |
Modular degree for the optimal curve |
Δ |
-1.0095640321466E+27 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,250196332,129238429152] |
[a1,a2,a3,a4,a6] |
j |
1401736707877453022000/817022074122378423 |
j-invariant |
L |
1.7878981515098 |
L(r)(E,1)/r! |
Ω |
0.029798296125185 |
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 |
9048h1 |
Quadratic twists by: 13 |