Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456by |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
964414963709902848 = 230 · 3 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4171233,3277295007] |
[a1,a2,a3,a4,a6] |
Generators |
[309350629:4178786304:205379] |
Generators of the group modulo torsion |
j |
30618029936661765625/3678951124992 |
j-invariant |
L |
7.6107937956965 |
L(r)(E,1)/r! |
Ω |
0.26791185713417 |
Real period |
R |
7.1019568498279 |
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 |
27456n4 6864q4 82368en4 |
Quadratic twists by: -4 8 -3 |