Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16758s |
Isogeny class |
Conductor |
16758 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
34494447737232 = 24 · 39 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23897,1399465] |
[a1,a2,a3,a4,a6] |
Generators |
[65:310:1] |
Generators of the group modulo torsion |
j |
651714363/14896 |
j-invariant |
L |
5.4566552225002 |
L(r)(E,1)/r! |
Ω |
0.6529257662141 |
Real period |
R |
1.0446545964444 |
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 |
16758c1 2394i1 |
Quadratic twists by: -3 -7 |