Atkin-Lehner |
2+ 3- 5- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89010z |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
376022571152343750 = 2 · 39 · 510 · 232 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-582084,168513538] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:14549:1] |
Generators of the group modulo torsion |
j |
29919448838551030849/515805996093750 |
j-invariant |
L |
3.1707772546491 |
L(r)(E,1)/r! |
Ω |
0.3016841392476 |
Real period |
R |
0.26275637667637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29670s2 |
Quadratic twists by: -3 |