Atkin-Lehner |
5+ 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
6205b |
Isogeny class |
Conductor |
6205 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
700486328125 = 59 · 173 · 73 |
Discriminant |
Eigenvalues |
0 1 5+ -4 0 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6621,-205640] |
[a1,a2,a3,a4,a6] |
j |
32104068073652224/700486328125 |
j-invariant |
L |
0.52995594704922 |
L(r)(E,1)/r! |
Ω |
0.52995594704922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99280m2 55845o2 31025a2 105485c2 |
Quadratic twists by: -4 -3 5 17 |