Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575j |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
31197247453125 = 312 · 56 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 6 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8188,-96133] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:374:1] |
Generators of the group modulo torsion |
j |
3885442650361/1996623837 |
j-invariant |
L |
3.9480157098043 |
L(r)(E,1)/r! |
Ω |
0.53045787751315 |
Real period |
R |
0.62022136553567 |
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 |
49725p2 663a2 |
Quadratic twists by: -3 5 |