Atkin-Lehner |
13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5239d |
Isogeny class |
Conductor |
5239 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6552 |
Modular degree for the optimal curve |
Δ |
-328739480563 = -1 · 139 · 31 |
Discriminant |
Eigenvalues |
0 2 -4 -2 1 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1465,-17678] |
[a1,a2,a3,a4,a6] |
Generators |
[958:29659:1] |
Generators of the group modulo torsion |
j |
32768/31 |
j-invariant |
L |
3.1971918786931 |
L(r)(E,1)/r! |
Ω |
0.5265245127668 |
Real period |
R |
3.03612823446 |
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 |
83824bg1 47151f1 5239c1 |
Quadratic twists by: -4 -3 13 |