Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154bd |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-91110846684 = -1 · 22 · 3 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1102,-20320] |
[a1,a2,a3,a4,a6] |
Generators |
[14260:203275:64] |
Generators of the group modulo torsion |
j |
-30664297/18876 |
j-invariant |
L |
8.159464846798 |
L(r)(E,1)/r! |
Ω |
0.40302498209171 |
Real period |
R |
5.0613890015268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232bm1 33462bh1 122694bj1 858c1 |
Quadratic twists by: -4 -3 -11 13 |