Atkin-Lehner |
2- 3- 11- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127908j |
Isogeny class |
Conductor |
127908 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4999680 |
Modular degree for the optimal curve |
Δ |
-2.9119550845914E+21 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-427608,-2598503436] |
[a1,a2,a3,a4,a6] |
j |
-46333348065386496/15603325856220971 |
j-invariant |
L |
2.0476462376022 |
L(r)(E,1)/r! |
Ω |
0.063988976855134 |
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 |
14212b1 |
Quadratic twists by: -3 |