Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576v |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
3272165847549648 = 24 · 322 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39234,1171613] |
[a1,a2,a3,a4,a6] |
j |
572616640141312/280535480757 |
j-invariant |
L |
3.1787575480936 |
L(r)(E,1)/r! |
Ω |
0.3973446935117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152u1 76608bk1 3192c1 67032ch1 |
Quadratic twists by: -4 8 -3 -7 |