Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282b |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3129872562 = 2 · 39 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12408,535094] |
[a1,a2,a3,a4,a6] |
Generators |
[65:-27:1] |
Generators of the group modulo torsion |
j |
135005697/2 |
j-invariant |
L |
2.9407402377066 |
L(r)(E,1)/r! |
Ω |
1.2978741094882 |
Real period |
R |
2.2658131603121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33282r2 33282q2 |
Quadratic twists by: -3 -43 |