Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9792bw |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
151573707620352 = 224 · 312 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147180,21725008] |
[a1,a2,a3,a4,a6] |
j |
1845026709625/793152 |
j-invariant |
L |
1.1374062669948 |
L(r)(E,1)/r! |
Ω |
0.5687031334974 |
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 |
9792p1 2448p1 3264x1 |
Quadratic twists by: -4 8 -3 |