Atkin-Lehner |
2- 3- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008bz |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
9538560 |
Modular degree for the optimal curve |
Δ |
-2.4781767767666E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11+ -3 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9462936,-21165558732] |
[a1,a2,a3,a4,a6] |
j |
22879231194490519393943/60502362714028376064 |
j-invariant |
L |
3.047697108867 |
L(r)(E,1)/r! |
Ω |
0.050794952323509 |
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 |
10626c1 |
Quadratic twists by: -4 |