Atkin-Lehner |
2+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16456d |
Isogeny class |
Conductor |
16456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1441738859264 = -1 · 28 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ -1 -1 -2 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,57829] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:238:1] [-7:242:1] |
Generators of the group modulo torsion |
j |
-1024/3179 |
j-invariant |
L |
5.4550045189956 |
L(r)(E,1)/r! |
Ω |
0.68404924488721 |
Real period |
R |
0.24920558350547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32912d1 1496e1 |
Quadratic twists by: -4 -11 |