Atkin-Lehner |
2+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576c |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-4243456 = -1 · 214 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ 3 5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,16,-96] |
[a1,a2,a3,a4,a6] |
j |
27648/259 |
j-invariant |
L |
1.2168730916216 |
L(r)(E,1)/r! |
Ω |
1.2168730916216 |
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 |
16576p1 2072b1 116032j1 |
Quadratic twists by: -4 8 -7 |