Atkin-Lehner |
2- 3+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834m |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1891494018 = -1 · 2 · 36 · 172 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-630,-6699] |
[a1,a2,a3,a4,a6] |
Generators |
[366:1819:8] |
Generators of the group modulo torsion |
j |
-27655941287521/1891494018 |
j-invariant |
L |
3.8705389408837 |
L(r)(E,1)/r! |
Ω |
0.47459279621907 |
Real period |
R |
4.077747251664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54672z2 20502u2 116178br2 |
Quadratic twists by: -4 -3 17 |