Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310q |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2648867923653120 = 29 · 316 · 5 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1599399,-778140675] |
[a1,a2,a3,a4,a6] |
Generators |
[-731:402:1] |
Generators of the group modulo torsion |
j |
620678635894145336689/3633563681280 |
j-invariant |
L |
4.6604658177056 |
L(r)(E,1)/r! |
Ω |
0.13424882382322 |
Real period |
R |
4.3393916656262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770ba2 |
Quadratic twists by: -3 |