Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bm |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5990504988672 = 218 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15649,-749473] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:96:1] |
Generators of the group modulo torsion |
j |
1616855892553/22851963 |
j-invariant |
L |
4.5564218133067 |
L(r)(E,1)/r! |
Ω |
0.42721571773535 |
Real period |
R |
0.88878241603175 |
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 |
8256j3 2064i3 24768cc4 |
Quadratic twists by: -4 8 -3 |