Atkin-Lehner |
5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16055a |
Isogeny class |
Conductor |
16055 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-16055 = -1 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
1 -1 5+ -2 -3 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[4:6:1] |
Generators of the group modulo torsion |
j |
-28561/95 |
j-invariant |
L |
2.8137191637916 |
L(r)(E,1)/r! |
Ω |
1.6035923576024 |
Real period |
R |
1.7546349297889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80275d1 16055g1 |
Quadratic twists by: 5 13 |