Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32800m |
Isogeny class |
Conductor |
32800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
16015625000000 = 26 · 514 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10758,-387512] |
[a1,a2,a3,a4,a6] |
j |
137707850944/16015625 |
j-invariant |
L |
0.94465980283977 |
L(r)(E,1)/r! |
Ω |
0.47232990142458 |
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 |
32800j1 65600bk1 6560c1 |
Quadratic twists by: -4 8 5 |