Atkin-Lehner |
2+ 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33282o |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5521084416 = 212 · 36 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 0 -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2088,-36032] |
[a1,a2,a3,a4,a6] |
Generators |
[-3120:2584:125] |
Generators of the group modulo torsion |
j |
747081097/4096 |
j-invariant |
L |
5.4563406979423 |
L(r)(E,1)/r! |
Ω |
0.70648109648555 |
Real period |
R |
3.8616324803909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3698b2 33282y2 |
Quadratic twists by: -3 -43 |