Atkin-Lehner |
2+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
50752g |
Isogeny class |
Conductor |
50752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-25970056626176 = -1 · 229 · 13 · 612 |
Discriminant |
Eigenvalues |
2+ 1 -3 1 -2 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7137,335231] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1024:1] |
Generators of the group modulo torsion |
j |
-153388121977/99067904 |
j-invariant |
L |
4.7570926482042 |
L(r)(E,1)/r! |
Ω |
0.61852992261123 |
Real period |
R |
0.96137075878319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50752n1 1586a1 |
Quadratic twists by: -4 8 |