Atkin-Lehner |
2+ 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576x |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
188863488 = 210 · 36 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-373,-2821] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:3:1] [35:168:1] |
Generators of the group modulo torsion |
j |
5619712000/184437 |
j-invariant |
L |
10.005072528695 |
L(r)(E,1)/r! |
Ω |
1.0883007020675 |
Real period |
R |
3.0644326240864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48576ct1 3036d1 |
Quadratic twists by: -4 8 |