Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840w |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.1119313645481E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-290176,229240960] |
[a1,a2,a3,a4,a6] |
j |
-659704930833045889/5156082432978750 |
j-invariant |
L |
1.47776742914 |
L(r)(E,1)/r! |
Ω |
0.1847209286425 |
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 |
2730ba4 87360gv3 65520di3 109200gg3 |
Quadratic twists by: -4 8 -3 5 |