Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5850j |
Isogeny class |
Conductor |
5850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-4.663394775E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,899433,-12594659] |
[a1,a2,a3,a4,a6] |
j |
7064514799444439/4094064000000 |
j-invariant |
L |
0.95840572763469 |
L(r)(E,1)/r! |
Ω |
0.11980071595434 |
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 |
46800dd1 1950n1 1170k1 76050ej1 |
Quadratic twists by: -4 -3 5 13 |