Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
128018u |
Isogeny class |
Conductor |
128018 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
52992000 |
Modular degree for the optimal curve |
Δ |
-5.3717296559496E+20 |
Discriminant |
Eigenvalues |
2- 1 4 4 11- -6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-568241231,-5213761751527] |
[a1,a2,a3,a4,a6] |
j |
-146265917771209/3872 |
j-invariant |
L |
8.348915149346 |
L(r)(E,1)/r! |
Ω |
0.015460957013828 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11638b1 128018v1 |
Quadratic twists by: -11 -23 |