Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29172f |
Isogeny class |
Conductor |
29172 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
-1.2764621428933E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11+ 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2973308,-2047856460] |
[a1,a2,a3,a4,a6] |
j |
-11355430171368393250000/498618024567704613 |
j-invariant |
L |
2.5802300433914 |
L(r)(E,1)/r! |
Ω |
0.057338445408713 |
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 |
116688p2 87516g2 |
Quadratic twists by: -4 -3 |