Atkin-Lehner |
2- 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190cf |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
32449768081380 = 22 · 32 · 5 · 139 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33550,-2363353] |
[a1,a2,a3,a4,a6] |
j |
393832837/3060 |
j-invariant |
L |
2.8233830779844 |
L(r)(E,1)/r! |
Ω |
0.35292288605403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190j1 |
Quadratic twists by: 13 |