Atkin-Lehner |
3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731b |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
1045066897017 = 39 · 11 · 136 |
Discriminant |
Eigenvalues |
-1 3+ -4 2 11+ 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2567,9910] |
[a1,a2,a3,a4,a6] |
Generators |
[76:461:1] |
Generators of the group modulo torsion |
j |
19683/11 |
j-invariant |
L |
2.2018186792047 |
L(r)(E,1)/r! |
Ω |
0.75677320412851 |
Real period |
R |
2.909482877027 |
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 |
16731d1 99c1 |
Quadratic twists by: -3 13 |