Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
528d |
Isogeny class |
Conductor |
528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1824768 = 211 · 34 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-472,-4108] |
[a1,a2,a3,a4,a6] |
j |
5690357426/891 |
j-invariant |
L |
2.048195850677 |
L(r)(E,1)/r! |
Ω |
1.0240979253385 |
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 |
264b3 2112w3 1584g3 13200a3 |
Quadratic twists by: -4 8 -3 5 |