Atkin-Lehner |
2- 3- 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47214n |
Isogeny class |
Conductor |
47214 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
-22417833247064064 = -1 · 214 · 38 · 434 · 61 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 -5 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15386,7244889] |
[a1,a2,a3,a4,a6] |
Generators |
[-199:1647:1] |
Generators of the group modulo torsion |
j |
-552518603439193/30751485935616 |
j-invariant |
L |
11.153915970567 |
L(r)(E,1)/r! |
Ω |
0.3154395965905 |
Real period |
R |
0.31571348850211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738c1 |
Quadratic twists by: -3 |