Atkin-Lehner |
2+ 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21008a |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
358585552 = 24 · 133 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-766,-8109] |
[a1,a2,a3,a4,a6] |
Generators |
[-5131:510:343] |
Generators of the group modulo torsion |
j |
3106633623552/22411597 |
j-invariant |
L |
2.8044955112008 |
L(r)(E,1)/r! |
Ω |
0.90788577087186 |
Real period |
R |
6.1780801091477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10504a1 84032t1 |
Quadratic twists by: -4 8 |