Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bi |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
304317292534477803 = 37 · 78 · 176 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-99922671,-384428826090] |
[a1,a2,a3,a4,a6] |
Generators |
[40353106331974769944628175534352860:2692047217638410183633943816328571217:2926745622854893697179259384000] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
10.238657796867 |
L(r)(E,1)/r! |
Ω |
0.047751118188773 |
Real period |
R |
53.604283594505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998744795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42483v6 18207e5 441c5 |
Quadratic twists by: -3 -7 17 |