Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gf |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-31603654656 = -1 · 215 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 1 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2604,-51856] |
[a1,a2,a3,a4,a6] |
j |
-1668296/27 |
j-invariant |
L |
1.3353706861342 |
L(r)(E,1)/r! |
Ω |
0.33384267153395 |
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 |
28224gg1 14112cf1 9408cf1 28224eu1 |
Quadratic twists by: -4 8 -3 -7 |