Atkin-Lehner |
2+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576f |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-30773542912 = -1 · 216 · 73 · 372 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ -4 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,-8417] |
[a1,a2,a3,a4,a6] |
j |
415292/469567 |
j-invariant |
L |
1.0931624079185 |
L(r)(E,1)/r! |
Ω |
0.54658120395923 |
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 |
16576s1 2072c1 116032p1 |
Quadratic twists by: -4 8 -7 |