Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224gi |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-5.3066328372256E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20081964,34815229904] |
[a1,a2,a3,a4,a6] |
j |
-16591834777/98304 |
j-invariant |
L |
0.54648442628305 |
L(r)(E,1)/r! |
Ω |
0.13662110657069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224co2 7056bz2 9408cg2 28224ex2 |
Quadratic twists by: -4 8 -3 -7 |