Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gb |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1062325247606784 = 216 · 39 · 77 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7113036,-7301811440] |
[a1,a2,a3,a4,a6] |
j |
7080974546692/189 |
j-invariant |
L |
0.73956404764403 |
L(r)(E,1)/r! |
Ω |
0.09244550595555 |
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 |
28224ce4 7056w3 9408cv4 4032bd4 |
Quadratic twists by: -4 8 -3 -7 |