Atkin-Lehner |
2- 3- 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824ba |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
10861194313728 = 216 · 37 · 11 · 832 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6248,-106956] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:90:1] [-50:288:1] |
Generators of the group modulo torsion |
j |
6586524843625/2651658768 |
j-invariant |
L |
9.9454693492152 |
L(r)(E,1)/r! |
Ω |
0.55607350140328 |
Real period |
R |
1.277512174215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5478a1 |
Quadratic twists by: -4 |