Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744q |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-18488685293568 = -1 · 212 · 33 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12544,-583180] |
[a1,a2,a3,a4,a6] |
j |
-53297461115137/4513839183 |
j-invariant |
L |
1.3468264955798 |
L(r)(E,1)/r! |
Ω |
0.22447108259663 |
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 |
609b1 38976bb1 29232ba1 68208bw1 |
Quadratic twists by: -4 8 -3 -7 |