Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288bc |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-6.1925525113001E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8489952,10243819872] |
[a1,a2,a3,a4,a6] |
j |
-280880296871140514/25701087819771 |
j-invariant |
L |
3.1469455683357 |
L(r)(E,1)/r! |
Ω |
0.13112273201399 |
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 |
30576d5 122304cc5 45864o5 2184j6 |
Quadratic twists by: -4 8 -3 -7 |