Atkin-Lehner |
2+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576d |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
2541564928 = 210 · 72 · 373 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 4 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67528,-6754200] |
[a1,a2,a3,a4,a6] |
j |
33256413948450816/2481997 |
j-invariant |
L |
3.5539378672402 |
L(r)(E,1)/r! |
Ω |
0.29616148893668 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16576q1 2072e1 116032l1 |
Quadratic twists by: -4 8 -7 |