Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190cl |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-1.1665008544922E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2868841,1877251025] |
[a1,a2,a3,a4,a6] |
j |
-21580315425730848803929/96405029296875000 |
j-invariant |
L |
6.823090596669 |
L(r)(E,1)/r! |
Ω |
0.22743635322212 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190bd2 |
Quadratic twists by: -11 |