Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
16048c |
Isogeny class |
Conductor |
16048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-74205952 = -1 · 28 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ -2 2 2 -3 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-577,5163] |
[a1,a2,a3,a4,a6] |
Generators |
[14:5:1] |
Generators of the group modulo torsion |
j |
-83131122688/289867 |
j-invariant |
L |
3.9236527116185 |
L(r)(E,1)/r! |
Ω |
1.9479437497924 |
Real period |
R |
2.0142536005142 |
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 |
8024m1 64192by1 |
Quadratic twists by: -4 8 |