Atkin-Lehner |
2+ 3- 13- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934r |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14400000 |
Modular degree for the optimal curve |
Δ |
-1.3011228046509E+21 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 3 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7232175,-7682753907] |
[a1,a2,a3,a4,a6] |
j |
-57385609248046791394801/1784804944651399008 |
j-invariant |
L |
3.6757629439215 |
L(r)(E,1)/r! |
Ω |
0.045947023170927 |
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 |
42978v1 |
Quadratic twists by: -3 |