Atkin-Lehner |
2+ 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
21960c |
Isogeny class |
Conductor |
21960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
160088400 = 24 · 38 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138,137] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:18:1] [-8:27:1] |
Generators of the group modulo torsion |
j |
24918016/13725 |
j-invariant |
L |
6.7958956304443 |
L(r)(E,1)/r! |
Ω |
1.5803890390313 |
Real period |
R |
1.0750352385718 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43920d1 7320m1 109800bm1 |
Quadratic twists by: -4 -3 5 |