Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fu |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
59018069311488 = 215 · 37 · 77 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-395724,95814992] |
[a1,a2,a3,a4,a6] |
j |
2438569736/21 |
j-invariant |
L |
2.250335054801 |
L(r)(E,1)/r! |
Ω |
0.56258376369996 |
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 |
28224fx4 14112bb3 9408ce3 4032bk3 |
Quadratic twists by: -4 8 -3 -7 |