Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gc |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
36870930432 = 214 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1596,22736] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:189:1] [-26:216:1] |
Generators of the group modulo torsion |
j |
109744/9 |
j-invariant |
L |
7.3666773746496 |
L(r)(E,1)/r! |
Ω |
1.1291751528014 |
Real period |
R |
0.81549321161263 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224cg2 7056bt2 9408cb2 28224fs2 |
Quadratic twists by: -4 8 -3 -7 |