Atkin-Lehner |
2- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28556c |
Isogeny class |
Conductor |
28556 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-1672353584 = -1 · 24 · 116 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 3 11- 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-2066] |
[a1,a2,a3,a4,a6] |
j |
-16384/59 |
j-invariant |
L |
1.2283077453769 |
L(r)(E,1)/r! |
Ω |
0.61415387268876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114224h1 236a1 |
Quadratic twists by: -4 -11 |