Atkin-Lehner |
2+ 5+ 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
53950b |
Isogeny class |
Conductor |
53950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
5.0785079105946E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39960542,97178372116] |
[a1,a2,a3,a4,a6] |
j |
451645619636475881929521/325024506278051840 |
j-invariant |
L |
0.27035349774384 |
L(r)(E,1)/r! |
Ω |
0.1351767488231 |
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 |
10790h1 |
Quadratic twists by: 5 |