Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456cm |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
123537063936 = 217 · 3 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5857,-173665] |
[a1,a2,a3,a4,a6] |
Generators |
[2406:3815:27] |
Generators of the group modulo torsion |
j |
169556172914/942513 |
j-invariant |
L |
7.7431159680389 |
L(r)(E,1)/r! |
Ω |
0.54590859117892 |
Real period |
R |
7.0919528407834 |
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 |
27456h3 6864c3 82368ei3 |
Quadratic twists by: -4 8 -3 |