Atkin-Lehner |
5- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
65975n |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
56640 |
Modular degree for the optimal curve |
Δ |
-13401171875 = -1 · 58 · 7 · 132 · 29 |
Discriminant |
Eigenvalues |
2 1 5- 7+ 2 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-208,5619] |
[a1,a2,a3,a4,a6] |
j |
-2560000/34307 |
j-invariant |
L |
6.3972831803028 |
L(r)(E,1)/r! |
Ω |
1.066213862251 |
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 |
65975k1 |
Quadratic twists by: 5 |