Atkin-Lehner |
2+ 3- 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970f |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5.9530548536782E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2264715,-584928675] |
[a1,a2,a3,a4,a6] |
j |
1762126009010457758641/816605604071080200 |
j-invariant |
L |
0.51467514838583 |
L(r)(E,1)/r! |
Ω |
0.12866878713254 |
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 |
15990w3 |
Quadratic twists by: -3 |