Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840s |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
72549509760000 = 210 · 34 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13720,-467932] |
[a1,a2,a3,a4,a6] |
j |
278944461825124/70849130625 |
j-invariant |
L |
3.59498437491 |
L(r)(E,1)/r! |
Ω |
0.44937304686375 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
10920n3 87360ea3 65520s3 109200o3 |
Quadratic twists by: -4 8 -3 5 |