Atkin-Lehner |
2- 3+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
117300c |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13547520 |
Modular degree for the optimal curve |
Δ |
4.3675182869652E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47205733,124446258337] |
[a1,a2,a3,a4,a6] |
j |
2908358687307694538752/10918795717413117 |
j-invariant |
L |
0.68711009591575 |
L(r)(E,1)/r! |
Ω |
0.11451833555613 |
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 |
4692f1 |
Quadratic twists by: 5 |