Atkin-Lehner |
2- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
57760m |
Isogeny class |
Conductor |
57760 |
Conductor |
∏ cp |
4 |
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] |
j |
-14172488/475 |
j-invariant |
L |
2.8519654726822 |
L(r)(E,1)/r! |
Ω |
0.71299136803545 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57760n1 115520bz1 3040a1 |
Quadratic twists by: -4 8 -19 |