Atkin-Lehner |
3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6579d |
Isogeny class |
Conductor |
6579 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-154007811 = -1 · 36 · 173 · 43 |
Discriminant |
Eigenvalues |
-1 3- 1 0 6 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4847,-128662] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2061:1] |
Generators of the group modulo torsion |
j |
-17271547035049/211259 |
j-invariant |
L |
3.0000592997274 |
L(r)(E,1)/r! |
Ω |
0.28609349658966 |
Real period |
R |
3.4954299153821 |
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 |
105264bw1 731a1 111843f1 |
Quadratic twists by: -4 -3 17 |