Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79475k |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-20743223359375 = -1 · 57 · 11 · 176 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5870,132872] |
[a1,a2,a3,a4,a6] |
j |
59319/55 |
j-invariant |
L |
0.89259925377959 |
L(r)(E,1)/r! |
Ω |
0.44629964568997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15895e1 275a1 |
Quadratic twists by: 5 17 |