Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190br |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
16581810960 = 24 · 32 · 5 · 116 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1636,-25387] |
[a1,a2,a3,a4,a6] |
j |
273359449/9360 |
j-invariant |
L |
3.0090164611749 |
L(r)(E,1)/r! |
Ω |
0.75225411528329 |
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 |
390a1 |
Quadratic twists by: -11 |