Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048bk |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-161323757568 = -1 · 212 · 310 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,960,-15568] |
[a1,a2,a3,a4,a6] |
Generators |
[2642:48213:8] |
Generators of the group modulo torsion |
j |
32768000/54027 |
j-invariant |
L |
6.6073413747044 |
L(r)(E,1)/r! |
Ω |
0.53836093217423 |
Real period |
R |
6.1365349682119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004679 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6003a1 32016l1 |
Quadratic twists by: -4 -3 |