Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744l |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.2426732303823E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18704242992,984602802313152] |
[a1,a2,a3,a4,a6] |
j |
176678690562294721133446471910833/3033870191363023488 |
j-invariant |
L |
1.5629450306683 |
L(r)(E,1)/r! |
Ω |
0.065122709611179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1218h3 38976bw4 29232bp4 68208cx4 |
Quadratic twists by: -4 8 -3 -7 |