Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792bq |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
67366092275712 = 226 · 310 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19596,979216] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:1404:1] |
Generators of the group modulo torsion |
j |
4354703137/352512 |
j-invariant |
L |
4.1228279507851 |
L(r)(E,1)/r! |
Ω |
0.60407598445921 |
Real period |
R |
3.4125077447633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9792k1 2448n1 3264bc1 |
Quadratic twists by: -4 8 -3 |