Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190ck |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
Δ |
-4.1239902338142E+30 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,624350499,97520395298481] |
[a1,a2,a3,a4,a6] |
j |
1037724929386537879751/158997676032000000000 |
j-invariant |
L |
3.7639623668017 |
L(r)(E,1)/r! |
Ω |
0.01900991094656 |
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 |
47190bc2 |
Quadratic twists by: -11 |