Atkin-Lehner |
2- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52640m |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2216775680 = -1 · 212 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 -2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412,3936] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:84:1] |
Generators of the group modulo torsion |
j |
-1888232256/541205 |
j-invariant |
L |
6.5054884209737 |
L(r)(E,1)/r! |
Ω |
1.3859736660057 |
Real period |
R |
1.1734509429168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640i2 105280a1 |
Quadratic twists by: -4 8 |