Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450q |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
198185062400000000 = 218 · 58 · 13 · 533 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-986688,-377042719] |
[a1,a2,a3,a4,a6] |
Generators |
[-591:613:1] |
Generators of the group modulo torsion |
j |
6798972002354808121/12683843993600 |
j-invariant |
L |
13.618325444255 |
L(r)(E,1)/r! |
Ω |
0.15149673049107 |
Real period |
R |
1.6646643865724 |
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 |
6890h3 |
Quadratic twists by: 5 |