Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256m |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
403903019483136 = 232 · 37 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-122657,16465215] |
[a1,a2,a3,a4,a6] |
j |
778510269523657/1540767744 |
j-invariant |
L |
3.7325568262563 |
L(r)(E,1)/r! |
Ω |
0.5332224037509 |
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 |
8256bj1 258b1 24768p1 |
Quadratic twists by: -4 8 -3 |