Atkin-Lehner |
2- 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192bt |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
3776502625260797952 = 232 · 38 · 133 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 -4 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-549507,-125857150] |
[a1,a2,a3,a4,a6] |
j |
6145481607815809/1264743088128 |
j-invariant |
L |
0.71155301252986 |
L(r)(E,1)/r! |
Ω |
0.17788827087161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274i1 38064u1 |
Quadratic twists by: -4 -3 |