Atkin-Lehner |
11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43681j |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
162000 |
Modular degree for the optimal curve |
Δ |
-1583548311814579 = -1 · 116 · 197 |
Discriminant |
Eigenvalues |
0 2 3 1 11- -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,29121,-94238] |
[a1,a2,a3,a4,a6] |
Generators |
[360350:11984788:15625] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
8.9775837876794 |
L(r)(E,1)/r! |
Ω |
0.28216964251096 |
Real period |
R |
7.9540659545973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
361b1 2299d1 |
Quadratic twists by: -11 -19 |