Atkin-Lehner |
2- 3- 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bm |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-2581989696 = -1 · 26 · 38 · 11 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,166,-2343] |
[a1,a2,a3,a4,a6] |
Generators |
[11:21:1] [17:-81:1] |
Generators of the group modulo torsion |
j |
697864103/3541824 |
j-invariant |
L |
13.430257213055 |
L(r)(E,1)/r! |
Ω |
0.72564615042475 |
Real period |
R |
0.77116656680658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894i1 |
Quadratic twists by: -3 |