Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154bh |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
20064 |
Modular degree for the optimal curve |
Δ |
111308900274 = 2 · 311 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 1 2 11- 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5665,-163801] |
[a1,a2,a3,a4,a6] |
j |
703971110401/3897234 |
j-invariant |
L |
6.0553134253505 |
L(r)(E,1)/r! |
Ω |
0.55048303866823 |
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 |
89232bc1 33462v1 122694bf1 11154n1 |
Quadratic twists by: -4 -3 -11 13 |