Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5566f |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1896803276456 = 23 · 117 · 233 |
Discriminant |
Eigenvalues |
2- -2 3 -5 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-47979,4040521] |
[a1,a2,a3,a4,a6] |
Generators |
[120:61:1] |
Generators of the group modulo torsion |
j |
6894801108937/1070696 |
j-invariant |
L |
4.3180304293576 |
L(r)(E,1)/r! |
Ω |
0.80491032346004 |
Real period |
R |
0.89410176171259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44528y2 50094bh2 506c2 128018bg2 |
Quadratic twists by: -4 -3 -11 -23 |