Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384do |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3471520254532780032 = -1 · 225 · 38 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,250260,75590224] |
[a1,a2,a3,a4,a6] |
Generators |
[668:23256:1] |
Generators of the group modulo torsion |
j |
9070486526375/18165704832 |
j-invariant |
L |
8.2948333558626 |
L(r)(E,1)/r! |
Ω |
0.17294419525246 |
Real period |
R |
2.9976553103112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384l2 30096s2 40128bu2 |
Quadratic twists by: -4 8 -3 |