Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bh |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-429876720 = -1 · 24 · 310 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-993] |
[a1,a2,a3,a4,a6] |
j |
-1771561/589680 |
j-invariant |
L |
3.0016611027551 |
L(r)(E,1)/r! |
Ω |
0.75041527568878 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520cm1 2730h1 40950bc1 57330fb1 |
Quadratic twists by: -4 -3 5 -7 |