Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3366i |
Isogeny class |
Conductor |
3366 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
26991954 = 2 · 38 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1638,-25110] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:12:1] |
Generators of the group modulo torsion |
j |
666940371553/37026 |
j-invariant |
L |
2.1894372636346 |
L(r)(E,1)/r! |
Ω |
0.75042984770882 |
Real period |
R |
1.4587887664112 |
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 |
26928bd2 107712x2 1122j2 84150ga2 |
Quadratic twists by: -4 8 -3 5 |