Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1056i |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-67465728 = -1 · 29 · 32 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56,380] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:18:1] |
Generators of the group modulo torsion |
j |
37259704/131769 |
j-invariant |
L |
2.6111870785783 |
L(r)(E,1)/r! |
Ω |
1.3873367614991 |
Real period |
R |
1.8821580679206 |
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 |
1056c4 2112f4 3168m4 26400c2 |
Quadratic twists by: -4 8 -3 5 |