Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822l |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6779584506393324 = 22 · 38 · 172 · 197 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -6 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-156682,-23553280] |
[a1,a2,a3,a4,a6] |
Generators |
[-236:659:1] |
Generators of the group modulo torsion |
j |
9041811349537/144105804 |
j-invariant |
L |
3.996066266771 |
L(r)(E,1)/r! |
Ω |
0.24019538800046 |
Real period |
R |
0.51989787096297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110466bq2 1938g2 |
Quadratic twists by: -3 -19 |