Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048v |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2- 3 -3 1 2 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184,-961] |
[a1,a2,a3,a4,a6] |
Generators |
[5766:24769:216] |
Generators of the group modulo torsion |
j |
-43058331648/17051 |
j-invariant |
L |
7.3997578728973 |
L(r)(E,1)/r! |
Ω |
0.6481190504799 |
Real period |
R |
5.7086409259365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4012a1 64192bt1 |
Quadratic twists by: -4 8 |