Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8496v |
Isogeny class |
Conductor |
8496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
76106760192 = 216 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4971,-134246] |
[a1,a2,a3,a4,a6] |
j |
4549540393/25488 |
j-invariant |
L |
1.1375359049819 |
L(r)(E,1)/r! |
Ω |
0.56876795249093 |
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 |
1062h1 33984bl1 2832b1 |
Quadratic twists by: -4 8 -3 |