Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
11376s |
Isogeny class |
Conductor |
11376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1965465648 = -1 · 24 · 39 · 792 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -2 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-2261] |
[a1,a2,a3,a4,a6] |
j |
-35995648/168507 |
j-invariant |
L |
0.61175345083138 |
L(r)(E,1)/r! |
Ω |
0.61175345083138 |
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 |
2844b1 45504bu1 3792e1 |
Quadratic twists by: -4 8 -3 |