Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020x |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2427045120 = 28 · 38 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -3 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,-2108] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:18:1] |
Generators of the group modulo torsion |
j |
139264/45 |
j-invariant |
L |
6.5993158316683 |
L(r)(E,1)/r! |
Ω |
1.0895247360964 |
Real period |
R |
1.0095098674629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340r1 52020bl1 |
Quadratic twists by: -3 17 |