Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
24768cq |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-41600729088 = -1 · 214 · 310 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,384,-9376] |
[a1,a2,a3,a4,a6] |
j |
524288/3483 |
j-invariant |
L |
1.1419629997758 |
L(r)(E,1)/r! |
Ω |
0.57098149988796 |
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 |
24768q1 6192q1 8256bk1 |
Quadratic twists by: -4 8 -3 |