Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16184f |
Isogeny class |
Conductor |
16184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
246514688 = 210 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 2 2 7- -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232,1212] |
[a1,a2,a3,a4,a6] |
Generators |
[78:672:1] |
Generators of the group modulo torsion |
j |
275684/49 |
j-invariant |
L |
7.9571248263773 |
L(r)(E,1)/r! |
Ω |
1.6714625627472 |
Real period |
R |
2.3802880793511 |
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 |
32368c1 129472bg1 113288z1 16184b1 |
Quadratic twists by: -4 8 -7 17 |