Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21528p |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
415825892352 = 210 · 310 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,3742] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:184:1] |
Generators of the group modulo torsion |
j |
976562500/557037 |
j-invariant |
L |
4.455924063518 |
L(r)(E,1)/r! |
Ω |
0.81038530004655 |
Real period |
R |
1.3746313214412 |
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 |
43056h2 7176e2 |
Quadratic twists by: -4 -3 |