Atkin-Lehner |
2- 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bm |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2274019381725E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78865984,-269023139072] |
[a1,a2,a3,a4,a6] |
j |
13244420128496241770842177/29965867631164664892 |
j-invariant |
L |
0.81069247251003 |
L(r)(E,1)/r! |
Ω |
0.050668280186657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10626r4 |
Quadratic twists by: -4 |