Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744k |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-78917926026412032 = -1 · 216 · 3 · 712 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79568,-10421312] |
[a1,a2,a3,a4,a6] |
j |
13601087408654927/19267071783792 |
j-invariant |
L |
2.1870924341024 |
L(r)(E,1)/r! |
Ω |
0.18225770284187 |
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 |
1218g4 38976bx3 29232bo3 68208cy3 |
Quadratic twists by: -4 8 -3 -7 |