Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fj |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
36578304 = 210 · 36 · 72 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 1 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-252,1512] |
[a1,a2,a3,a4,a6] |
j |
48384 |
j-invariant |
L |
2.0567669077328 |
L(r)(E,1)/r! |
Ω |
2.0567669077322 |
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 |
28224bp1 7056s1 3136bc1 28224eo1 |
Quadratic twists by: -4 8 -3 -7 |