Atkin-Lehner |
5+ 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93275f |
Isogeny class |
Conductor |
93275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-94732421875 = -1 · 59 · 7 · 132 · 41 |
Discriminant |
Eigenvalues |
2 2 5+ 7+ -2 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-448908,115916593] |
[a1,a2,a3,a4,a6] |
j |
-640289955159691264/6062875 |
j-invariant |
L |
5.9609194272424 |
L(r)(E,1)/r! |
Ω |
0.74511493415382 |
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 |
18655b1 |
Quadratic twists by: 5 |