Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4165i |
Isogeny class |
Conductor |
4165 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2760 |
Modular degree for the optimal curve |
Δ |
752303125 = 55 · 72 · 173 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -6 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3705,-85569] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:2:1] |
Generators of the group modulo torsion |
j |
114817869021184/15353125 |
j-invariant |
L |
2.4502548366448 |
L(r)(E,1)/r! |
Ω |
0.61192221293558 |
Real period |
R |
0.8008386637544 |
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 |
66640cd1 37485bc1 20825n1 4165c1 |
Quadratic twists by: -4 -3 5 -7 |