Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bk |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4.2513712996389E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42729192,41441737216] |
[a1,a2,a3,a4,a6] |
j |
757443433548897303481/373234243041000000 |
j-invariant |
L |
2.2104675691773 |
L(r)(E,1)/r! |
Ω |
0.06907711391918 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28050cm2 16830cd2 |
Quadratic twists by: -3 5 |