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 |
Δ |
134512824248010000 = 24 · 316 · 54 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-178772,-23086681] |
[a1,a2,a3,a4,a6] |
Generators |
[-297:2083:1] |
Generators of the group modulo torsion |
j |
866747110990777849/184516905690000 |
j-invariant |
L |
9.1588775378218 |
L(r)(E,1)/r! |
Ω |
0.2356790155188 |
Real period |
R |
2.4288536883729 |
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 |
16770f2 |
Quadratic twists by: -3 |