Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040cl |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
651755520 = 216 · 32 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3336,-75276] |
[a1,a2,a3,a4,a6] |
j |
1002702430729/159120 |
j-invariant |
L |
5.0254657620628 |
L(r)(E,1)/r! |
Ω |
0.6281832203159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630c1 |
Quadratic twists by: -4 |