Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43344k |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3317008133376 = 28 · 316 · 7 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13719,-612250] |
[a1,a2,a3,a4,a6] |
Generators |
[-151814:167220:2197] |
Generators of the group modulo torsion |
j |
1530113288272/17773749 |
j-invariant |
L |
6.9695629396201 |
L(r)(E,1)/r! |
Ω |
0.44144222923288 |
Real period |
R |
7.894082711265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21672m2 14448c2 |
Quadratic twists by: -4 -3 |