Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12920h |
Isogeny class |
Conductor |
12920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
39276800 = 28 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116,-416] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:8:1] [-6:10:1] |
Generators of the group modulo torsion |
j |
680136784/153425 |
j-invariant |
L |
4.2289892982138 |
L(r)(E,1)/r! |
Ω |
1.4771866278913 |
Real period |
R |
0.71571682588472 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25840a1 103360y1 116280ba1 64600g1 |
Quadratic twists by: -4 8 -3 5 |