Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154t |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
43680 |
Modular degree for the optimal curve |
Δ |
279097371805824 = 27 · 35 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 11- 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17073,300484] |
[a1,a2,a3,a4,a6] |
Generators |
[14:246:1] |
Generators of the group modulo torsion |
j |
674636521/342144 |
j-invariant |
L |
4.0847904658493 |
L(r)(E,1)/r! |
Ω |
0.48527813859011 |
Real period |
R |
0.56116140978682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89232ba1 33462ch1 122694cy1 11154bc1 |
Quadratic twists by: -4 -3 -11 13 |