Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21672o |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1096115727022848 = -1 · 28 · 39 · 76 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42951,3778346] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:2394:1] [-95:2646:1] |
Generators of the group modulo torsion |
j |
-46954374288208/5873391027 |
j-invariant |
L |
7.0429925251153 |
L(r)(E,1)/r! |
Ω |
0.475549278771 |
Real period |
R |
0.30854638518034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43344g2 7224a2 |
Quadratic twists by: -4 -3 |