Atkin-Lehner |
2- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
65728o |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-65728 = -1 · 26 · 13 · 79 |
Discriminant |
Eigenvalues |
2- -2 0 1 6 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-853,-9879] |
[a1,a2,a3,a4,a6] |
j |
-1073741824000/1027 |
j-invariant |
L |
1.7666472766963 |
L(r)(E,1)/r! |
Ω |
0.44166181866087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728g1 16432j1 |
Quadratic twists by: -4 8 |