Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256d |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-74304 = -1 · 26 · 33 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 5 5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,34] |
[a1,a2,a3,a4,a6] |
Generators |
[3:2:1] |
Generators of the group modulo torsion |
j |
-7529536/1161 |
j-invariant |
L |
3.8772240073418 |
L(r)(E,1)/r! |
Ω |
3.3288607034941 |
Real period |
R |
1.1647300240806 |
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 |
8256s1 4128f1 24768l1 |
Quadratic twists by: -4 8 -3 |