Atkin-Lehner |
2- 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bj |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
5664351417903360 = 28 · 310 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44607,-193534] |
[a1,a2,a3,a4,a6] |
j |
52597519950544/30351677265 |
j-invariant |
L |
1.4334965821383 |
L(r)(E,1)/r! |
Ω |
0.35837414553586 |
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 |
65520bj1 10920a1 |
Quadratic twists by: -4 -3 |