Atkin-Lehner |
2- 13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
33592f |
Isogeny class |
Conductor |
33592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
73096192 = 210 · 13 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 0 0 0 -4 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5275,147462] |
[a1,a2,a3,a4,a6] |
Generators |
[43:12:1] [654:16626:1] |
Generators of the group modulo torsion |
j |
15852258562500/71383 |
j-invariant |
L |
8.2336442473525 |
L(r)(E,1)/r! |
Ω |
1.713499604506 |
Real period |
R |
4.8051626190634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67184c2 |
Quadratic twists by: -4 |