Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840x |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.91646E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22389184,-206646789120] |
[a1,a2,a3,a4,a6] |
j |
303025056761573589385151/4678857421875000000000 |
j-invariant |
L |
0.2683960384744 |
L(r)(E,1)/r! |
Ω |
0.033549504809301 |
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 |
2730z4 87360gw3 65520dh3 109200gf3 |
Quadratic twists by: -4 8 -3 5 |