Atkin-Lehner |
2- 3- 31- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
61752n |
Isogeny class |
Conductor |
61752 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
15808512 = 211 · 3 · 31 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 0 3 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64,32] |
[a1,a2,a3,a4,a6] |
j |
14378114/7719 |
j-invariant |
L |
1.9287802591285 |
L(r)(E,1)/r! |
Ω |
1.9287802590775 |
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 |
123504c1 |
Quadratic twists by: -4 |