Atkin-Lehner |
2- 3- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
8418h |
Isogeny class |
Conductor |
8418 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
1948128 |
Modular degree for the optimal curve |
Δ |
-9.2486753913093E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 1 6 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,28674720,-133848308736] |
[a1,a2,a3,a4,a6] |
j |
2607481697495522749887674879/9248675391309330593611776 |
j-invariant |
L |
5.7937855094868 |
L(r)(E,1)/r! |
Ω |
0.037139650701838 |
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 |
67344p1 25254i1 |
Quadratic twists by: -4 -3 |