Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1056i |
Isogeny class |
Conductor |
1056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
627264 = 26 · 34 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] |
Generators of the group modulo torsion |
j |
69934528/9801 |
j-invariant |
L |
2.6111870785783 |
L(r)(E,1)/r! |
Ω |
2.7746735229981 |
Real period |
R |
0.9410790339603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1056c1 2112f2 3168m1 26400c1 |
Quadratic twists by: -4 8 -3 5 |