Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27744bb |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
296602447872 = 212 · 3 · 176 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5009,132255] |
[a1,a2,a3,a4,a6] |
Generators |
[27:132:1] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
4.9319530008618 |
L(r)(E,1)/r! |
Ω |
0.97118771271463 |
Real period |
R |
2.5391347812032 |
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 |
27744f3 55488j1 83232m3 96b3 |
Quadratic twists by: -4 8 -3 17 |