Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456bp |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16081747968 = 218 · 3 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-6687] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:32:1] |
Generators of the group modulo torsion |
j |
244140625/61347 |
j-invariant |
L |
4.0465089509432 |
L(r)(E,1)/r! |
Ω |
0.90497569353325 |
Real period |
R |
1.1178501753855 |
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 |
27456u2 6864v2 82368dj2 |
Quadratic twists by: -4 8 -3 |