Atkin-Lehner |
3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5577d |
Isogeny class |
Conductor |
5577 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
1433562273 = 33 · 11 · 136 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 11+ 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1102,-14422] |
[a1,a2,a3,a4,a6] |
Generators |
[-492:335:27] |
Generators of the group modulo torsion |
j |
30664297/297 |
j-invariant |
L |
1.964136388496 |
L(r)(E,1)/r! |
Ω |
0.82909834379939 |
Real period |
R |
4.7380058184538 |
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 |
89232co1 16731k1 61347j1 33a2 |
Quadratic twists by: -4 -3 -11 13 |