Atkin-Lehner |
2- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
56108c |
Isogeny class |
Conductor |
56108 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-1083290397488 = -1 · 24 · 138 · 83 |
Discriminant |
Eigenvalues |
2- -3 -2 -1 -3 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-676,-50531] |
[a1,a2,a3,a4,a6] |
j |
-442368/14027 |
j-invariant |
L |
0.75920071843252 |
L(r)(E,1)/r! |
Ω |
0.37960035904403 |
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 |
4316a1 |
Quadratic twists by: 13 |