Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744z |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9289699893268992 = 29 · 32 · 1710 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55584,1965960] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:44506:27] |
Generators of the group modulo torsion |
j |
1536800264/751689 |
j-invariant |
L |
6.1328435752529 |
L(r)(E,1)/r! |
Ω |
0.36433666745795 |
Real period |
R |
4.2082256076796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27744r3 55488cl3 83232j3 1632h3 |
Quadratic twists by: -4 8 -3 17 |