Atkin-Lehner |
3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
52221a |
Isogeny class |
Conductor |
52221 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-17973873455031 = -1 · 33 · 137 · 1032 |
Discriminant |
Eigenvalues |
1 3+ -2 2 -4 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4566,234135] |
[a1,a2,a3,a4,a6] |
Generators |
[1146:8743:27] |
Generators of the group modulo torsion |
j |
-2181825073/3723759 |
j-invariant |
L |
4.1293623066227 |
L(r)(E,1)/r! |
Ω |
0.61772399432147 |
Real period |
R |
6.6848015370178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4017a1 |
Quadratic twists by: 13 |