Atkin-Lehner |
2+ 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456m |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17192021603328 = 210 · 36 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30707093,-65484467307] |
[a1,a2,a3,a4,a6] |
j |
3127086412733145284608000/16789083597 |
j-invariant |
L |
1.5392214933744 |
L(r)(E,1)/r! |
Ω |
0.064134228890612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456bx3 1716b3 82368q3 |
Quadratic twists by: -4 8 -3 |