Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8190bs |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
349792279200 = 25 · 37 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-806432,278941731] |
[a1,a2,a3,a4,a6] |
Generators |
[521:-171:1] |
Generators of the group modulo torsion |
j |
79560762543506753209/479824800 |
j-invariant |
L |
6.7141952821157 |
L(r)(E,1)/r! |
Ω |
0.65504552134016 |
Real period |
R |
0.51249837327176 |
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 |
65520dm4 2730d3 40950bf4 57330em4 |
Quadratic twists by: -4 -3 5 -7 |