Atkin-Lehner |
2- 3- 5- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310cg |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
1392373152518400 = 28 · 311 · 52 · 134 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57092,4948391] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:2959:1] |
Generators of the group modulo torsion |
j |
28230256467282169/1909976889600 |
j-invariant |
L |
9.1588775378218 |
L(r)(E,1)/r! |
Ω |
0.47135803103761 |
Real period |
R |
1.2144268441865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16770f1 |
Quadratic twists by: -3 |