Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bm |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
694116210937500 = 22 · 37 · 514 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-190130,-31837003] |
[a1,a2,a3,a4,a6] |
Generators |
[-255:253:1] |
Generators of the group modulo torsion |
j |
66730743078481/60937500 |
j-invariant |
L |
5.6593423796039 |
L(r)(E,1)/r! |
Ω |
0.22864456388457 |
Real period |
R |
3.0939628978349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46800cx4 1950g4 1170d3 76050bc4 |
Quadratic twists by: -4 -3 5 13 |