Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5850o |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-34117200 = -1 · 24 · 38 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 13- 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18,-284] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
34295/1872 |
j-invariant |
L |
2.9251918156875 |
L(r)(E,1)/r! |
Ω |
0.98948970557876 |
Real period |
R |
0.73906575257813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46800ds1 1950p1 5850bv1 76050ee1 |
Quadratic twists by: -4 -3 5 13 |