Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240bo |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2847105800000 = 26 · 55 · 76 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204346,35486604] |
[a1,a2,a3,a4,a6] |
j |
125330290485184/378125 |
j-invariant |
L |
1.4022800022754 |
L(r)(E,1)/r! |
Ω |
0.70113997380036 |
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 |
86240bd1 1760n1 |
Quadratic twists by: -4 -7 |