Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19266u |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
-1267637082937884672 = -1 · 221 · 3 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,214542,-38340732] |
[a1,a2,a3,a4,a6] |
Generators |
[3524:209150:1] |
Generators of the group modulo torsion |
j |
226256177900375/262624247808 |
j-invariant |
L |
9.5244987436241 |
L(r)(E,1)/r! |
Ω |
0.14647392068937 |
Real period |
R |
0.77410974780632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57798g2 1482e2 |
Quadratic twists by: -3 13 |