Atkin-Lehner |
5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4165b |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
648 |
Modular degree for the optimal curve |
Δ |
204085 = 5 · 74 · 17 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ -4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,-8] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
200704/85 |
j-invariant |
L |
1.1262839974963 |
L(r)(E,1)/r! |
Ω |
2.466653591314 |
Real period |
R |
0.15220134699394 |
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 |
66640u1 37485bk1 20825f1 4165p1 |
Quadratic twists by: -4 -3 5 -7 |