Atkin-Lehner |
2+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
6256c |
Isogeny class |
Conductor |
6256 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
-56260208 = -1 · 24 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ -1 -2 -4 0 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1224,-16085] |
[a1,a2,a3,a4,a6] |
Generators |
[63:391:1] |
Generators of the group modulo torsion |
j |
-12685358647552/3516263 |
j-invariant |
L |
2.204131815942 |
L(r)(E,1)/r! |
Ω |
0.40354077054729 |
Real period |
R |
0.91033008178772 |
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 |
3128b1 25024t1 56304j1 106352a1 |
Quadratic twists by: -4 8 -3 17 |