Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976n |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
41068855296 = 216 · 32 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22337,-1292385] |
[a1,a2,a3,a4,a6] |
j |
18807789559108/626661 |
j-invariant |
L |
3.1241550435285 |
L(r)(E,1)/r! |
Ω |
0.39051938045083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976bh4 4872d3 116928bo4 |
Quadratic twists by: -4 8 -3 |