Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190z |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
9287460 = 22 · 36 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-54,-32] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:10:1] |
Generators of the group modulo torsion |
j |
24137569/12740 |
j-invariant |
L |
3.3547387653619 |
L(r)(E,1)/r! |
Ω |
1.8670997188663 |
Real period |
R |
0.89838232298564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520dy1 910i1 40950dt1 57330be1 |
Quadratic twists by: -4 -3 5 -7 |