Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7920be |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
630639820800 = 220 · 37 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3243,-59942] |
[a1,a2,a3,a4,a6] |
j |
1263214441/211200 |
j-invariant |
L |
2.5593602608018 |
L(r)(E,1)/r! |
Ω |
0.63984006520045 |
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 |
990j1 31680dn1 2640w1 39600ee1 |
Quadratic twists by: -4 8 -3 5 |