Atkin-Lehner |
3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045u |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.7169890739427E+29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,817697925,-23408206061814] |
[a1,a2,a3,a4,a6] |
j |
82942070120330816933825086799/372700833188302062975155625 |
j-invariant |
L |
2.0004834534103 |
L(r)(E,1)/r! |
Ω |
0.015628776981219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15015t4 |
Quadratic twists by: -3 |