Atkin-Lehner |
2- 3- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
85608u |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
5336064 |
Modular degree for the optimal curve |
Δ |
-7.6799955725205E+21 |
Discriminant |
Eigenvalues |
2- 3- 4 1 1 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4564437,-1920804685] |
[a1,a2,a3,a4,a6] |
j |
901649721028143421184/658435834406766303 |
j-invariant |
L |
5.3247667310828 |
L(r)(E,1)/r! |
Ω |
0.073955093311483 |
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 |
28536b1 |
Quadratic twists by: -3 |