Atkin-Lehner |
2+ 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8256c |
Isogeny class |
Conductor |
8256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-403903019483136 = -1 · 232 · 37 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -5 7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10175,879169] |
[a1,a2,a3,a4,a6] |
Generators |
[-1653:4096:27] |
Generators of the group modulo torsion |
j |
444369620591/1540767744 |
j-invariant |
L |
4.0629964046115 |
L(r)(E,1)/r! |
Ω |
0.37762477033232 |
Real period |
R |
2.68983705772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8256bp1 258f1 24768m1 |
Quadratic twists by: -4 8 -3 |