Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930da |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
82598587560090000 = 24 · 34 · 54 · 710 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1520716,721546496] |
[a1,a2,a3,a4,a6] |
j |
3305824819139208241/702076410000 |
j-invariant |
L |
5.3193518293881 |
L(r)(E,1)/r! |
Ω |
0.33245948933679 |
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 |
83790by4 3990u3 |
Quadratic twists by: -3 -7 |