Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1056f |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
13381632 = 212 · 33 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,495] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-132:1] |
Generators of the group modulo torsion |
j |
58411072/3267 |
j-invariant |
L |
2.5686819516268 |
L(r)(E,1)/r! |
Ω |
2.2040878417227 |
Real period |
R |
0.19423620533647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1056b2 2112s1 3168v2 26400bi2 |
Quadratic twists by: -4 8 -3 5 |