Atkin-Lehner |
3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83205i |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8.6946067799586E+26 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-880783515,9960947229856] |
[a1,a2,a3,a4,a6] |
j |
206246988924787/2373046875 |
j-invariant |
L |
0.10031526608946 |
L(r)(E,1)/r! |
Ω |
0.050157609915906 |
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 |
27735e2 83205p2 |
Quadratic twists by: -3 -43 |