Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16456a |
Isogeny class |
Conductor |
16456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
58305615632 = 24 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 11- 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,-14641] |
[a1,a2,a3,a4,a6] |
j |
76032/17 |
j-invariant |
L |
1.6061019934631 |
L(r)(E,1)/r! |
Ω |
0.80305099673153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32912b1 16456l1 |
Quadratic twists by: -4 -11 |