Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4160c |
Isogeny class |
Conductor |
4160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-276889600 = -1 · 216 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,-801] |
[a1,a2,a3,a4,a6] |
Generators |
[19:80:1] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
2.2574008035594 |
L(r)(E,1)/r! |
Ω |
0.79574546318337 |
Real period |
R |
0.70920944824766 |
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 |
4160m2 520b2 37440bz2 20800ba2 |
Quadratic twists by: -4 8 -3 5 |