Atkin-Lehner |
2- 3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824p |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-72883591892508672 = -1 · 213 · 36 · 116 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87592,8286576] |
[a1,a2,a3,a4,a6] |
Generators |
[1988:89640:1] |
Generators of the group modulo torsion |
j |
18144797856734375/17793845676882 |
j-invariant |
L |
4.1055237277819 |
L(r)(E,1)/r! |
Ω |
0.22720039662813 |
Real period |
R |
2.2587569105935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478e2 |
Quadratic twists by: -4 |