Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fl |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-1.97203734E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-525880545,-8197053526143] |
[a1,a2,a3,a4,a6] |
j |
-61354313914516350666047929/75227254486083984375000 |
j-invariant |
L |
0.60246636489482 |
L(r)(E,1)/r! |
Ω |
0.01506166015371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360cx3 21840cb3 |
Quadratic twists by: -4 8 |