Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
24768c |
Isogeny class |
Conductor |
24768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1246614257664 = -1 · 230 · 33 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 3 1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13356,596528] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2048:1] |
Generators of the group modulo torsion |
j |
-37226247219/176128 |
j-invariant |
L |
6.7625849207687 |
L(r)(E,1)/r! |
Ω |
0.86664045012914 |
Real period |
R |
0.97540233088603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24768bt1 774f1 24768d2 |
Quadratic twists by: -4 8 -3 |