Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fu |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-20243197773840384 = -1 · 215 · 37 · 710 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,27636,6613040] |
[a1,a2,a3,a4,a6] |
j |
830584/7203 |
j-invariant |
L |
2.250335054801 |
L(r)(E,1)/r! |
Ω |
0.28129188184998 |
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 |
28224fx3 14112bb4 9408ce4 4032bk4 |
Quadratic twists by: -4 8 -3 -7 |