Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31248bh |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10434657678665472 = 28 · 38 · 7 · 316 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268455,-53311102] |
[a1,a2,a3,a4,a6] |
Generators |
[-112848218:152276184:389017] |
Generators of the group modulo torsion |
j |
11464911586546000/55912731903 |
j-invariant |
L |
5.2894207436421 |
L(r)(E,1)/r! |
Ω |
0.20980177300858 |
Real period |
R |
12.605757968084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7812j4 124992eh4 10416o4 |
Quadratic twists by: -4 8 -3 |