Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256g |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-8454144 = -1 · 216 · 3 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 -3 -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,-3519] |
[a1,a2,a3,a4,a6] |
Generators |
[25:16:1] |
Generators of the group modulo torsion |
j |
-153091012/129 |
j-invariant |
L |
3.8894690823309 |
L(r)(E,1)/r! |
Ω |
0.51844829935404 |
Real period |
R |
1.8755337259168 |
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 |
8256br1 1032c1 24768u1 |
Quadratic twists by: -4 8 -3 |