Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
28200u |
Isogeny class |
Conductor |
28200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.622061869552E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-241408,-250479188] |
[a1,a2,a3,a4,a6] |
j |
-48621741154418/819394334235 |
j-invariant |
L |
3.2718337870746 |
L(r)(E,1)/r! |
Ω |
0.090884271863181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56400v3 84600t3 5640c4 |
Quadratic twists by: -4 -3 5 |