Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282r |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4293378 = 2 · 33 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1379,-19359] |
[a1,a2,a3,a4,a6] |
j |
135005697/2 |
j-invariant |
L |
3.133960169091 |
L(r)(E,1)/r! |
Ω |
0.78349004227342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33282b2 33282a2 |
Quadratic twists by: -3 -43 |