Atkin-Lehner |
2- 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
85932d |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
-22394881854576 = -1 · 24 · 39 · 7 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 11- -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5157,-268623] |
[a1,a2,a3,a4,a6] |
j |
-48161924352/71111117 |
j-invariant |
L |
2.1404026122228 |
L(r)(E,1)/r! |
Ω |
0.26755032231378 |
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 |
85932a1 |
Quadratic twists by: -3 |