Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850u |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-1.818833260565E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-275455276,-1760862653302] |
[a1,a2,a3,a4,a6] |
Generators |
[913217024:243005408842:12167] |
Generators of the group modulo torsion |
j |
-147930242542120974990848689/116405328676162500000 |
j-invariant |
L |
7.2276626995691 |
L(r)(E,1)/r! |
Ω |
0.018528330591622 |
Real period |
R |
10.835752702434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770x2 |
Quadratic twists by: 5 |