Atkin-Lehner |
2- 3+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
16728g |
Isogeny class |
Conductor |
16728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1472 |
Modular degree for the optimal curve |
Δ |
-535296 = -1 · 28 · 3 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
3286064/2091 |
j-invariant |
L |
4.8024866982067 |
L(r)(E,1)/r! |
Ω |
1.8201026112789 |
Real period |
R |
0.65964504809322 |
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 |
33456i1 50184l1 |
Quadratic twists by: -4 -3 |