Atkin-Lehner |
2- 3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bs |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
172809415818000 = 24 · 34 · 53 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-99291,11984409] |
[a1,a2,a3,a4,a6] |
j |
22428153804601/35802000 |
j-invariant |
L |
4.5708354115092 |
L(r)(E,1)/r! |
Ω |
0.57135444881845 |
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 |
6630e1 |
Quadratic twists by: 13 |