Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744x |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
4540002048 = 28 · 39 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -2 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,-4894] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:16:1] |
Generators of the group modulo torsion |
j |
137842000/24327 |
j-invariant |
L |
5.7270741976739 |
L(r)(E,1)/r! |
Ω |
0.97029029945325 |
Real period |
R |
2.9512169447416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997407825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32436c1 43248s1 |
Quadratic twists by: -4 -3 |