Atkin-Lehner |
2+ 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770d |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5819562828265904640 = 29 · 316 · 5 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-25268114,-48890538844] |
[a1,a2,a3,a4,a6] |
j |
1784194392936345889767325849/5819562828265904640 |
j-invariant |
L |
1.0773986263228 |
L(r)(E,1)/r! |
Ω |
0.067337414145177 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310cd4 83850bu4 |
Quadratic twists by: -3 5 |