Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ft |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1427765132783517696 = 222 · 310 · 78 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2371404,-1404406640] |
[a1,a2,a3,a4,a6] |
j |
65597103937/63504 |
j-invariant |
L |
4.3800181496002 |
L(r)(E,1)/r! |
Ω |
0.12166717082225 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28224cb2 7056by2 9408db2 4032bl2 |
Quadratic twists by: -4 8 -3 -7 |