Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576cr |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
1092405067776 = 215 · 32 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11- -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2689,19681] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:264:1] |
Generators of the group modulo torsion |
j |
65645911304/33337557 |
j-invariant |
L |
7.3726162259005 |
L(r)(E,1)/r! |
Ω |
0.77003426388835 |
Real period |
R |
0.23936000551116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576dh1 24288o1 |
Quadratic twists by: -4 8 |