Atkin-Lehner |
2- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256bd |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
936877888 = 26 · 172 · 373 |
Discriminant |
Eigenvalues |
2- 3 2 -1 -3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-844,-9322] |
[a1,a2,a3,a4,a6] |
j |
1038893617152/14638717 |
j-invariant |
L |
5.3190697239609 |
L(r)(E,1)/r! |
Ω |
0.88651162067117 |
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 |
40256t1 10064g1 |
Quadratic twists by: -4 8 |