Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840ck |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
18345600000000 = 213 · 32 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-978640,372307988] |
[a1,a2,a3,a4,a6] |
j |
25306558948218234961/4478906250 |
j-invariant |
L |
4.3397628832922 |
L(r)(E,1)/r! |
Ω |
0.54247036041152 |
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 |
2730w5 87360eq6 65520dg6 109200cy6 |
Quadratic twists by: -4 8 -3 5 |