Atkin-Lehner |
2- 3- 17+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
31518p |
Isogeny class |
Conductor |
31518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
83968 |
Modular degree for the optimal curve |
Δ |
302923784448 = 28 · 38 · 17 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4973,133589] |
[a1,a2,a3,a4,a6] |
j |
18653901818761/415533312 |
j-invariant |
L |
7.7524539193295 |
L(r)(E,1)/r! |
Ω |
0.96905673991652 |
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 |
10506e1 |
Quadratic twists by: -3 |