Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28322x |
Isogeny class |
Conductor |
28322 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
15597825359872 = 216 · 77 · 172 |
Discriminant |
Eigenvalues |
2- -1 0 7- -4 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9458,294783] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:819:1] |
Generators of the group modulo torsion |
j |
2751936625/458752 |
j-invariant |
L |
6.2061179129047 |
L(r)(E,1)/r! |
Ω |
0.66697807350979 |
Real period |
R |
0.14538797636758 |
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 |
4046p1 28322bf1 |
Quadratic twists by: -7 17 |