Atkin-Lehner |
2- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13904c |
Isogeny class |
Conductor |
13904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
244358017024 = 212 · 112 · 793 |
Discriminant |
Eigenvalues |
2- 1 1 -1 11+ 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8200,-287564] |
[a1,a2,a3,a4,a6] |
j |
14888751553801/59657719 |
j-invariant |
L |
2.0072725507891 |
L(r)(E,1)/r! |
Ω |
0.50181813769728 |
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 |
869d1 55616ba1 125136s1 |
Quadratic twists by: -4 8 -3 |