Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ft |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5665734653902848 = 220 · 38 · 77 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37933644,-89925934448] |
[a1,a2,a3,a4,a6] |
j |
268498407453697/252 |
j-invariant |
L |
4.3800181496002 |
L(r)(E,1)/r! |
Ω |
0.060833585411126 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224cb4 7056by3 9408db4 4032bl4 |
Quadratic twists by: -4 8 -3 -7 |