Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502by |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
54743040 |
Modular degree for the optimal curve |
Δ |
-1.8047539446117E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- -1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2300060588,-42457180119505] |
[a1,a2,a3,a4,a6] |
Generators |
[685920719:489847391279:1331] |
Generators of the group modulo torsion |
j |
-8611375583510451760921/1154912256 |
j-invariant |
L |
7.29368501644 |
L(r)(E,1)/r! |
Ω |
0.010900206861286 |
Real period |
R |
13.940264693686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42834o1 128502x1 |
Quadratic twists by: -3 -11 |