Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256bh |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-2113536 = -1 · 214 · 3 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 -1 -7 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:4:1] [1:8:1] |
Generators of the group modulo torsion |
j |
-35152/129 |
j-invariant |
L |
4.3873653589973 |
L(r)(E,1)/r! |
Ω |
2.2818452936058 |
Real period |
R |
0.48068172843392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256z1 2064p1 24768cg1 |
Quadratic twists by: -4 8 -3 |