Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200v |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9.0777744259154E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8499233,-10578765663] |
[a1,a2,a3,a4,a6] |
j |
-16576888679672833/2216253521952 |
j-invariant |
L |
3.1596247225037 |
L(r)(E,1)/r! |
Ω |
0.043883677556397 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200hm3 2850j4 3648r4 |
Quadratic twists by: -4 8 5 |