Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21672j |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
29132643907584 = 211 · 39 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 6 -5 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8139,111526] |
[a1,a2,a3,a4,a6] |
Generators |
[14:18:1] |
Generators of the group modulo torsion |
j |
39937362194/19512927 |
j-invariant |
L |
3.9661374338694 |
L(r)(E,1)/r! |
Ω |
0.58912196544884 |
Real period |
R |
3.3661428927096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43344o1 7224c1 |
Quadratic twists by: -4 -3 |