Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21528k |
Isogeny class |
Conductor |
21528 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-186465269382912 = -1 · 28 · 38 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3345,652754] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:702:1] [-22:754:1] |
Generators of the group modulo torsion |
j |
22179134000/999149463 |
j-invariant |
L |
7.1509656229294 |
L(r)(E,1)/r! |
Ω |
0.43071959752154 |
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 |
43056m2 7176b2 |
Quadratic twists by: -4 -3 |