Atkin-Lehner |
2+ 13+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33592b |
Isogeny class |
Conductor |
33592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95849531648 = 28 · 132 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 0 0 -2 -2 13+ 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1655,-21206] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:38:1] |
Generators of the group modulo torsion |
j |
1958293314000/374412233 |
j-invariant |
L |
4.1206813114166 |
L(r)(E,1)/r! |
Ω |
0.75844826615742 |
Real period |
R |
1.3582605087534 |
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 |
67184e2 |
Quadratic twists by: -4 |