Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322y |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
396508 = 22 · 73 · 172 |
Discriminant |
Eigenvalues |
2- -1 2 7- 2 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-57,139] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:14:1] |
Generators of the group modulo torsion |
j |
206839/4 |
j-invariant |
L |
8.3496460643869 |
L(r)(E,1)/r! |
Ω |
3.0005718717064 |
Real period |
R |
0.695671227135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28322u1 28322bg1 |
Quadratic twists by: -7 17 |