Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
57760n |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-11441558259200 = -1 · 29 · 52 · 197 |
Discriminant |
Eigenvalues |
2- -1 5- -3 0 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14560,-690700] |
[a1,a2,a3,a4,a6] |
Generators |
[260:-3610:1] [412:7942:1] |
Generators of the group modulo torsion |
j |
-14172488/475 |
j-invariant |
L |
7.7737452277038 |
L(r)(E,1)/r! |
Ω |
0.21688092109049 |
Real period |
R |
2.2402112379873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57760m1 115520bx1 3040b1 |
Quadratic twists by: -4 8 -19 |