Atkin-Lehner |
7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
9583c |
Isogeny class |
Conductor |
9583 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49248 |
Modular degree for the optimal curve |
Δ |
-1204780452694903 = -1 · 73 · 378 |
Discriminant |
Eigenvalues |
-1 0 -4 7- 4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7102,-1684020] |
[a1,a2,a3,a4,a6] |
j |
-15438249/469567 |
j-invariant |
L |
0.63426988316083 |
L(r)(E,1)/r! |
Ω |
0.21142329438694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86247p1 67081e1 259a1 |
Quadratic twists by: -3 -7 37 |