Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792k |
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] |
j |
4354703137/352512 |
j-invariant |
L |
0.81117454068388 |
L(r)(E,1)/r! |
Ω |
0.40558727034194 |
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 |
9792bq1 306c1 3264h1 |
Quadratic twists by: -4 8 -3 |