Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fc |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-493548440962203648 = -1 · 224 · 36 · 79 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,126420,29037008] |
[a1,a2,a3,a4,a6] |
j |
9938375/21952 |
j-invariant |
L |
1.6362219090263 |
L(r)(E,1)/r! |
Ω |
0.20452773862841 |
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 |
28224bi3 7056bp3 3136y3 4032z3 |
Quadratic twists by: -4 8 -3 -7 |