Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bx |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
5.52988485504E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1653075536,-25869974284140] |
[a1,a2,a3,a4,a6] |
j |
121966864931689155376172184529/135006954468750000000 |
j-invariant |
L |
1.8941588427167 |
L(r)(E,1)/r! |
Ω |
0.023676985533958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2730r4 87360fp4 65520ee4 109200dj4 |
Quadratic twists by: -4 8 -3 5 |