Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850bm |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-2843100000000 = -1 · 28 · 37 · 58 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3370,-31003] |
[a1,a2,a3,a4,a6] |
Generators |
[49:475:1] |
Generators of the group modulo torsion |
j |
371694959/249600 |
j-invariant |
L |
5.6593423796039 |
L(r)(E,1)/r! |
Ω |
0.45728912776914 |
Real period |
R |
0.77349072445872 |
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 |
46800cx1 1950g1 1170d1 76050bc1 |
Quadratic twists by: -4 -3 5 13 |