Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
89012u |
Isogeny class |
Conductor |
89012 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-622821886007552 = -1 · 28 · 72 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18785,-677994] |
[a1,a2,a3,a4,a6] |
j |
118638000/100793 |
j-invariant |
L |
0.56699866659831 |
L(r)(E,1)/r! |
Ω |
0.28349935239409 |
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 |
5236a2 |
Quadratic twists by: 17 |