Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680db |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-30224159866880 = -1 · 220 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -6 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7775,-15905] |
[a1,a2,a3,a4,a6] |
Generators |
[423:8896:1] |
Generators of the group modulo torsion |
j |
34391/20 |
j-invariant |
L |
5.8248037744649 |
L(r)(E,1)/r! |
Ω |
0.39112003192411 |
Real period |
R |
3.7231561279346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680bg1 3920p1 78400gg1 15680co1 |
Quadratic twists by: -4 8 5 -7 |