Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
528b |
Isogeny class |
Conductor |
528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
33792 = 210 · 3 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 11- 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-704,-6960] |
[a1,a2,a3,a4,a6] |
j |
37736227588/33 |
j-invariant |
L |
0.92673382967524 |
L(r)(E,1)/r! |
Ω |
0.92673382967524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
264c4 2112y3 1584c4 13200bb3 |
Quadratic twists by: -4 8 -3 5 |