Atkin-Lehner |
2- 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85008cb |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-11152593554522112 = -1 · 214 · 33 · 77 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- -1 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20256,5193972] |
[a1,a2,a3,a4,a6] |
j |
-224412099736609/2722801160772 |
j-invariant |
L |
6.1752590584954 |
L(r)(E,1)/r! |
Ω |
0.34306994642942 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626n1 |
Quadratic twists by: -4 |