Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bc |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-2.3278849747845E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5159921,-73268047294] |
[a1,a2,a3,a4,a6] |
j |
1037724929386537879751/158997676032000000000 |
j-invariant |
L |
2.088014475262 |
L(r)(E,1)/r! |
Ω |
0.038666934732215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190ck2 |
Quadratic twists by: -11 |