Atkin-Lehner |
3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6579a |
Isogeny class |
Conductor |
6579 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
-36493713 = -1 · 33 · 17 · 433 |
Discriminant |
Eigenvalues |
1 3+ -4 4 0 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-144,-691] |
[a1,a2,a3,a4,a6] |
Generators |
[28:115:1] |
Generators of the group modulo torsion |
j |
-12278428443/1351619 |
j-invariant |
L |
4.1084295091033 |
L(r)(E,1)/r! |
Ω |
0.68462135071435 |
Real period |
R |
3.0005122574811 |
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 |
105264x1 6579b1 111843b1 |
Quadratic twists by: -4 -3 17 |