Atkin-Lehner |
2- 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16284b |
Isogeny class |
Conductor |
16284 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3888 |
Modular degree for the optimal curve |
Δ |
195408 = 24 · 32 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 2 4 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-453,3564] |
[a1,a2,a3,a4,a6] |
j |
643956736000/12213 |
j-invariant |
L |
4.3919167408759 |
L(r)(E,1)/r! |
Ω |
2.9279444939173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65136j1 48852a1 |
Quadratic twists by: -4 -3 |