Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cm |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131040000 = 28 · 32 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-460,3608] |
[a1,a2,a3,a4,a6] |
j |
42140629456/511875 |
j-invariant |
L |
3.7131082097012 |
L(r)(E,1)/r! |
Ω |
1.8565541048506 |
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 |
5460b2 87360ep2 65520df2 109200dc2 |
Quadratic twists by: -4 8 -3 5 |