Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bx |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-41979015936 = -1 · 28 · 36 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11- 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,816,-4084] |
[a1,a2,a3,a4,a6] |
Generators |
[38:286:1] |
Generators of the group modulo torsion |
j |
321978368/224939 |
j-invariant |
L |
3.4837042549451 |
L(r)(E,1)/r! |
Ω |
0.64582848765002 |
Real period |
R |
0.44951359914214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5148d1 82368dv1 2288f1 |
Quadratic twists by: -4 8 -3 |