Atkin-Lehner |
2+ 7+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
11242c |
Isogeny class |
Conductor |
11242 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2176 |
Modular degree for the optimal curve |
Δ |
89936 = 24 · 7 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 11+ 4 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51,-163] |
[a1,a2,a3,a4,a6] |
j |
15124197817/89936 |
j-invariant |
L |
3.5652449141782 |
L(r)(E,1)/r! |
Ω |
1.7826224570891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89936bc1 101178br1 78694e1 123662bf1 |
Quadratic twists by: -4 -3 -7 -11 |