Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bl |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
49686773760 = 220 · 36 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-963,-4158] |
[a1,a2,a3,a4,a6] |
j |
33076161/16640 |
j-invariant |
L |
1.8067758146163 |
L(r)(E,1)/r! |
Ω |
0.90338790730815 |
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 |
1170c1 37440eu1 1040f1 46800ct1 |
Quadratic twists by: -4 8 -3 5 |