Atkin-Lehner |
2+ 3- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
6834h |
Isogeny class |
Conductor |
6834 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-35463566856 = -1 · 23 · 3 · 173 · 673 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 6 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-420,9610] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:110:1] |
Generators of the group modulo torsion |
j |
-8165528711353/35463566856 |
j-invariant |
L |
2.7157894917771 |
L(r)(E,1)/r! |
Ω |
1.0097367699024 |
Real period |
R |
0.89653382040668 |
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 |
54672o2 20502bh2 116178h2 |
Quadratic twists by: -4 -3 17 |