Atkin-Lehner |
2- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57200bg |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-3.685400576E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ -3 11+ 13+ 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1222675,-1060136750] |
[a1,a2,a3,a4,a6] |
j |
-3158470573163361/5758438400000 |
j-invariant |
L |
0.54146754109515 |
L(r)(E,1)/r! |
Ω |
0.067683442446008 |
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 |
7150j1 11440p1 |
Quadratic twists by: -4 5 |