Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275q |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
747461925 = 39 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -3 -2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-253,739] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:31:1] |
Generators of the group modulo torsion |
j |
71921827840/29898477 |
j-invariant |
L |
4.1613877755094 |
L(r)(E,1)/r! |
Ω |
1.4480227434029 |
Real period |
R |
0.15965785814056 |
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 |
48825y1 16275n1 113925j1 |
Quadratic twists by: -3 5 -7 |