Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190y |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-1.99371375092E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 3 13+ 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3666459,2710425382] |
[a1,a2,a3,a4,a6] |
j |
-1129285954562528881/4130500608000 |
j-invariant |
L |
2.6085396873922 |
L(r)(E,1)/r! |
Ω |
0.21737831793159 |
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 |
6630z1 |
Quadratic twists by: 13 |