Atkin-Lehner |
3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731d |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1433562273 = 33 · 11 · 136 |
Discriminant |
Eigenvalues |
1 3+ 4 2 11- 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-285,-272] |
[a1,a2,a3,a4,a6] |
j |
19683/11 |
j-invariant |
L |
4.9905853978009 |
L(r)(E,1)/r! |
Ω |
1.2476463494502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16731b1 99a1 |
Quadratic twists by: -3 13 |