Atkin-Lehner |
2- 3- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
28224eo |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
4303400887296 = 210 · 36 · 78 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12348,-518616] |
[a1,a2,a3,a4,a6] |
Generators |
[-1617:2107:27] |
Generators of the group modulo torsion |
j |
48384 |
j-invariant |
L |
4.8197724234022 |
L(r)(E,1)/r! |
Ω |
0.45346747935945 |
Real period |
R |
3.5429019299689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224y1 7056m1 3136q1 28224fj1 |
Quadratic twists by: -4 8 -3 -7 |