Atkin-Lehner |
2+ 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53742k |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6589440 |
Modular degree for the optimal curve |
Δ |
9.3119410853558E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-61515497,-185704885780] |
[a1,a2,a3,a4,a6] |
j |
2427655975399870669/87811227648 |
j-invariant |
L |
1.2937954064816 |
L(r)(E,1)/r! |
Ω |
0.053908142015046 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53742z1 |
Quadratic twists by: 13 |