Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456by |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
66140755734822912 = 222 · 33 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-115233,-8616609] |
[a1,a2,a3,a4,a6] |
Generators |
[999:29568:1] |
Generators of the group modulo torsion |
j |
645532578015625/252306960048 |
j-invariant |
L |
7.6107937956965 |
L(r)(E,1)/r! |
Ω |
0.26791185713417 |
Real period |
R |
2.3673189499426 |
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 |
27456n2 6864q2 82368en2 |
Quadratic twists by: -4 8 -3 |