Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8256bk |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-57065472 = -1 · 214 · 34 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -3 1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43,333] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] |
Generators of the group modulo torsion |
j |
524288/3483 |
j-invariant |
L |
3.722060284174 |
L(r)(E,1)/r! |
Ω |
1.4393112695936 |
Real period |
R |
1.2930004658495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256n1 2064k1 24768cq1 |
Quadratic twists by: -4 8 -3 |