Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12240ca |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.3306882424832E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-600267,-35210374] |
[a1,a2,a3,a4,a6] |
j |
8010684753304969/4456448000000 |
j-invariant |
L |
2.2075356753013 |
L(r)(E,1)/r! |
Ω |
0.18396130627511 |
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 |
1530p3 48960ej3 1360f3 61200fr3 |
Quadratic twists by: -4 8 -3 5 |