Atkin-Lehner |
2+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32704b |
Isogeny class |
Conductor |
32704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
960193626112 = 228 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ -6 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5452,-147600] |
[a1,a2,a3,a4,a6] |
j |
68367756969/3662848 |
j-invariant |
L |
1.1149016559333 |
L(r)(E,1)/r! |
Ω |
0.55745082796993 |
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 |
32704e1 1022a1 |
Quadratic twists by: -4 8 |