Atkin-Lehner |
2- 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488cm |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
314756890501349376 = 215 · 34 · 179 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-268577,-46187295] |
[a1,a2,a3,a4,a6] |
j |
551368/81 |
j-invariant |
L |
1.694205656325 |
L(r)(E,1)/r! |
Ω |
0.21177570720096 |
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 |
55488dr2 27744l2 55488dv2 |
Quadratic twists by: -4 8 17 |