Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235i |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.2114693569228E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36748913,-85666633594] |
[a1,a2,a3,a4,a6] |
j |
1559802282754777489/1481059636875 |
j-invariant |
L |
0.4905724759737 |
L(r)(E,1)/r! |
Ω |
0.061321559107438 |
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 |
17745s3 4095m3 |
Quadratic twists by: -3 13 |