Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154w |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-25444774637568 = -1 · 212 · 32 · 11 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,926,-242065] |
[a1,a2,a3,a4,a6] |
j |
18191447/5271552 |
j-invariant |
L |
1.8901039653304 |
L(r)(E,1)/r! |
Ω |
0.31501732755507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89232cq1 33462bg1 122694v1 858a1 |
Quadratic twists by: -4 -3 -11 13 |