Atkin-Lehner |
2+ 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7590h |
Isogeny class |
Conductor |
7590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
2316725452800 = 216 · 35 · 52 · 11 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-736552,-243613376] |
[a1,a2,a3,a4,a6] |
j |
44191106172662624762761/2316725452800 |
j-invariant |
L |
1.3037328633665 |
L(r)(E,1)/r! |
Ω |
0.16296660792082 |
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 |
60720cp1 22770bg1 37950cw1 83490ca1 |
Quadratic twists by: -4 -3 5 -11 |