Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744q |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.0456094496113E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,199696,-151670508] |
[a1,a2,a3,a4,a6] |
j |
215015459663151503/2552757445339983 |
j-invariant |
L |
1.3468264955798 |
L(r)(E,1)/r! |
Ω |
0.11223554129831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
609b6 38976bb5 29232ba5 68208bw5 |
Quadratic twists by: -4 8 -3 -7 |