Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975be |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
157944561328125 = 32 · 58 · 112 · 135 |
Discriminant |
Eigenvalues |
2 3+ 5- -2 11- 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19708,-870057] |
[a1,a2,a3,a4,a6] |
j |
17911336960/3341637 |
j-invariant |
L |
4.0813381048241 |
L(r)(E,1)/r! |
Ω |
0.40813388916257 |
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 |
117975bo1 117975bb1 |
Quadratic twists by: 5 -11 |