Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52020o |
Isogeny class |
Conductor |
52020 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2578735440 = 24 · 38 · 5 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-408,-2023] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:27:1] |
Generators of the group modulo torsion |
j |
131072/45 |
j-invariant |
L |
5.3926122909495 |
L(r)(E,1)/r! |
Ω |
1.0919501633789 |
Real period |
R |
0.82308583788965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17340e1 52020bb1 |
Quadratic twists by: -3 17 |