Atkin-Lehner |
2+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296m |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-63296 = -1 · 26 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ -1 -2 2 -1 -5 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4,14] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
-140608/989 |
j-invariant |
L |
4.219597714671 |
L(r)(E,1)/r! |
Ω |
3.0052627436212 |
Real period |
R |
1.4040694857385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296d1 31648a1 |
Quadratic twists by: -4 8 |