Atkin-Lehner |
2- 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
53560g |
Isogeny class |
Conductor |
53560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
57920 |
Modular degree for the optimal curve |
Δ |
391610152960 = 211 · 5 · 135 · 103 |
Discriminant |
Eigenvalues |
2- -1 5- -2 1 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10720,429740] |
[a1,a2,a3,a4,a6] |
j |
66530169178562/191215895 |
j-invariant |
L |
0.9528232110006 |
L(r)(E,1)/r! |
Ω |
0.95282321195292 |
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 |
107120e1 |
Quadratic twists by: -4 |