Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21528k |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
1098040246992 = 24 · 310 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5970,170237] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:486:1] [-38:585:1] |
Generators of the group modulo torsion |
j |
2017433344000/94139253 |
j-invariant |
L |
7.1509656229294 |
L(r)(E,1)/r! |
Ω |
0.86143919504308 |
Real period |
R |
0.69176536816506 |
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 |
43056m1 7176b1 |
Quadratic twists by: -4 -3 |