Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13160d |
Isogeny class |
Conductor |
13160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1155553280 = 211 · 5 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10043,387382] |
[a1,a2,a3,a4,a6] |
Generators |
[1866:4130:27] |
Generators of the group modulo torsion |
j |
54699599673378/564235 |
j-invariant |
L |
3.8776436948296 |
L(r)(E,1)/r! |
Ω |
1.3958135333988 |
Real period |
R |
5.5561056001334 |
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 |
26320b4 105280k4 118440bc4 65800b4 |
Quadratic twists by: -4 8 -3 5 |