Atkin-Lehner |
2+ 3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190v |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
8805888 |
Modular degree for the optimal curve |
Δ |
-1.3437660174008E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 3 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3035236,5192852186] |
[a1,a2,a3,a4,a6] |
j |
640680045567719039/2783963520000000 |
j-invariant |
L |
3.2389838322268 |
L(r)(E,1)/r! |
Ω |
0.089971771760008 |
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 |
6630y1 |
Quadratic twists by: 13 |