Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16008h |
Isogeny class |
Conductor |
16008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-2049024 = -1 · 210 · 3 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 -5 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-68] |
[a1,a2,a3,a4,a6] |
Generators |
[6:4:1] |
Generators of the group modulo torsion |
j |
-470596/2001 |
j-invariant |
L |
2.4403048721234 |
L(r)(E,1)/r! |
Ω |
1.0804188157722 |
Real period |
R |
1.1293328274644 |
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 |
32016j1 128064w1 48024c1 |
Quadratic twists by: -4 8 -3 |