Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758q |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
68326450661952 = 26 · 33 · 78 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23750,-1345515] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:135:1] |
Generators of the group modulo torsion |
j |
466385893875/21509824 |
j-invariant |
L |
7.3362562171664 |
L(r)(E,1)/r! |
Ω |
0.38567685340498 |
Real period |
R |
1.5851474605397 |
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 |
16758a3 2394g1 |
Quadratic twists by: -3 -7 |