Atkin-Lehner |
2+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9152g |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
-20106944 = -1 · 26 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3 -1 4 11+ 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,62,-106] |
[a1,a2,a3,a4,a6] |
j |
411830784/314171 |
j-invariant |
L |
4.8290670629975 |
L(r)(E,1)/r! |
Ω |
1.2072667657494 |
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 |
9152p1 4576g1 82368cd1 100672z1 |
Quadratic twists by: -4 8 -3 -11 |