Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dr |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
32 |
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] |
Generators |
[-497:7560:1] |
Generators of the group modulo torsion |
j |
551368/81 |
j-invariant |
L |
9.5321870654245 |
L(r)(E,1)/r! |
Ω |
0.29338524836415 |
Real period |
R |
4.061292753524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55488cm2 27744e2 55488cq2 |
Quadratic twists by: -4 8 17 |