Atkin-Lehner |
2- 13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
51272a |
Isogeny class |
Conductor |
51272 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1245184 |
Modular degree for the optimal curve |
Δ |
2510890056026423552 = 28 · 138 · 17 · 294 |
Discriminant |
Eigenvalues |
2- 2 -2 2 -2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3969844,3044814948] |
[a1,a2,a3,a4,a6] |
j |
27027394393665889958992/9808164281353217 |
j-invariant |
L |
2.0194541880047 |
L(r)(E,1)/r! |
Ω |
0.2524317735867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102544a1 |
Quadratic twists by: -4 |