Atkin-Lehner |
2- 5- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17630h |
Isogeny class |
Conductor |
17630 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9720617840 = 24 · 5 · 414 · 43 |
Discriminant |
Eigenvalues |
2- 0 5- 4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18382,963821] |
[a1,a2,a3,a4,a6] |
j |
686878381491562161/9720617840 |
j-invariant |
L |
4.7176286999522 |
L(r)(E,1)/r! |
Ω |
1.1794071749881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
88150f4 |
Quadratic twists by: 5 |