Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456cm |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12061310976 = 216 · 32 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577,575] |
[a1,a2,a3,a4,a6] |
Generators |
[50:315:1] |
Generators of the group modulo torsion |
j |
324730948/184041 |
j-invariant |
L |
7.7431159680389 |
L(r)(E,1)/r! |
Ω |
1.0918171823578 |
Real period |
R |
3.5459764203917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27456h2 6864c2 82368ei2 |
Quadratic twists by: -4 8 -3 |