Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550bc |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
1786414500 = 22 · 36 · 53 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-421,2588] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:59:1] |
Generators of the group modulo torsion |
j |
65792478653/14291316 |
j-invariant |
L |
6.184673714918 |
L(r)(E,1)/r! |
Ω |
1.404715282811 |
Real period |
R |
0.36689960061787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56550bq1 |
Quadratic twists by: 5 |