Atkin-Lehner |
2- 3+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570q |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-1.5992826001991E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,422728,-599282629] |
[a1,a2,a3,a4,a6] |
j |
309416846671761646077/5923268889626176000 |
j-invariant |
L |
6.3729050654915 |
L(r)(E,1)/r! |
Ω |
0.088512570354467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
42570b4 |
Quadratic twists by: -3 |