Atkin-Lehner |
5- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89425be |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-164386903515625 = -1 · 58 · 78 · 73 |
Discriminant |
Eigenvalues |
1 0 5- 7- -5 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6508,-584459] |
[a1,a2,a3,a4,a6] |
Generators |
[60:109:1] [100:979:1] |
Generators of the group modulo torsion |
j |
663255/3577 |
j-invariant |
L |
11.856270274072 |
L(r)(E,1)/r! |
Ω |
0.28812126937643 |
Real period |
R |
10.28756944928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425k1 12775m1 |
Quadratic twists by: 5 -7 |