Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6936p |
Isogeny class |
Conductor |
6936 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
132192 |
Modular degree for the optimal curve |
Δ |
-140599125720271872 = -1 · 210 · 39 · 178 |
Discriminant |
Eigenvalues |
2- 3- 4 -5 0 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11464,-18030528] |
[a1,a2,a3,a4,a6] |
j |
23324/19683 |
j-invariant |
L |
2.7455079492868 |
L(r)(E,1)/r! |
Ω |
0.15252821940482 |
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 |
13872g1 55488x1 20808t1 6936j1 |
Quadratic twists by: -4 8 -3 17 |