Atkin-Lehner |
2- 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17622l |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
349985677413347712 = 27 · 322 · 11 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-177071,3558327] |
[a1,a2,a3,a4,a6] |
j |
842240661378910633/480090092473728 |
j-invariant |
L |
3.6409352385958 |
L(r)(E,1)/r! |
Ω |
0.26006680275684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5874a2 |
Quadratic twists by: -3 |