Atkin-Lehner |
2- 3- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
19998n |
Isogeny class |
Conductor |
19998 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1.8391440442313E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12819479,16420785711] |
[a1,a2,a3,a4,a6] |
j |
319600373239721753102377/25228313363940521472 |
j-invariant |
L |
4.3117546837902 |
L(r)(E,1)/r! |
Ω |
0.11977096343862 |
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 |
6666b4 |
Quadratic twists by: -3 |