Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8092a |
Isogeny class |
Conductor |
8092 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
8673999228120663808 = 28 · 75 · 1710 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 4 -4 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1030092,376286852] |
[a1,a2,a3,a4,a6] |
j |
234219472/16807 |
j-invariant |
L |
2.7273176037015 |
L(r)(E,1)/r! |
Ω |
0.22727646697513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32368bb1 129472h1 72828q1 56644j1 |
Quadratic twists by: -4 8 -3 -7 |