Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160ia |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
120637440 |
Modular degree for the optimal curve |
Δ |
1.6918934292571E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -5 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1098680161,12542044100639] |
[a1,a2,a3,a4,a6] |
j |
21571025211960961/2488320000000 |
j-invariant |
L |
3.0189705375733 |
L(r)(E,1)/r! |
Ω |
0.037737121331383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160x1 29040cr1 116160hy1 |
Quadratic twists by: -4 8 -11 |