Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456cg |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4930926492450816 = -1 · 216 · 33 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10431,3356991] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:705:1] [-105:1056:1] |
Generators of the group modulo torsion |
j |
1915049403068/75239967231 |
j-invariant |
L |
7.9604612188861 |
L(r)(E,1)/r! |
Ω |
0.32711844794662 |
Real period |
R |
1.0139626370885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456d3 6864d4 82368dp3 |
Quadratic twists by: -4 8 -3 |