Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21672i |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3145734144 = 211 · 36 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16491,815110] |
[a1,a2,a3,a4,a6] |
Generators |
[78:58:1] |
Generators of the group modulo torsion |
j |
332205796946/2107 |
j-invariant |
L |
3.6998185089496 |
L(r)(E,1)/r! |
Ω |
1.2656626535842 |
Real period |
R |
2.9232264209363 |
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 |
43344n2 2408a2 |
Quadratic twists by: -4 -3 |