Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27840cf |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
139057102848000 = 219 · 3 · 53 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257121,50265345] |
[a1,a2,a3,a4,a6] |
j |
7171303860679321/530460750 |
j-invariant |
L |
1.1080985677943 |
L(r)(E,1)/r! |
Ω |
0.55404928389716 |
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 |
27840bg4 6960bl3 83520ge4 |
Quadratic twists by: -4 8 -3 |