Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
16048bd |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8832 |
Modular degree for the optimal curve |
Δ |
-78843824 = -1 · 24 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3 -1 5 2 4 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28,431] |
[a1,a2,a3,a4,a6] |
j |
-151732224/4927739 |
j-invariant |
L |
6.4395799132266 |
L(r)(E,1)/r! |
Ω |
1.6098949783067 |
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 |
4012c1 64192cm1 |
Quadratic twists by: -4 8 |