Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504cn |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
621742740123648 = 212 · 3 · 116 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37792,2548148] |
[a1,a2,a3,a4,a6] |
j |
822656953/85683 |
j-invariant |
L |
1.9940461227894 |
L(r)(E,1)/r! |
Ω |
0.49851153080527 |
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 |
4719d3 624h3 |
Quadratic twists by: -4 -11 |