Atkin-Lehner |
2- 3+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550bs |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
172224 |
Modular degree for the optimal curve |
Δ |
-189929825280000 = -1 · 213 · 32 · 54 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7612,614981] |
[a1,a2,a3,a4,a6] |
Generators |
[261:4393:1] |
Generators of the group modulo torsion |
j |
78043451459375/303887720448 |
j-invariant |
L |
7.8862447953587 |
L(r)(E,1)/r! |
Ω |
0.40402685655074 |
Real period |
R |
0.1251225022118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56550u1 |
Quadratic twists by: 5 |