Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091f |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
155520 |
Modular degree for the optimal curve |
Δ |
-6246561772451 = -1 · 76 · 11 · 136 |
Discriminant |
Eigenvalues |
2 1 1 7- 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2760,-133493] |
[a1,a2,a3,a4,a6] |
j |
-4096/11 |
j-invariant |
L |
4.8936171447724 |
L(r)(E,1)/r! |
Ω |
0.30585106781892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1859a1 539d1 |
Quadratic twists by: -7 13 |