Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45120cy |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-107399654176849920 = -1 · 217 · 320 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38625,16022943] |
[a1,a2,a3,a4,a6] |
j |
-48621741154418/819394334235 |
j-invariant |
L |
5.6440449037869 |
L(r)(E,1)/r! |
Ω |
0.2822022451996 |
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 |
45120t3 11280b4 |
Quadratic twists by: -4 8 |