Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
51714f |
Isogeny class |
Conductor |
51714 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4323450873543157512 = -1 · 23 · 318 · 136 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-327807,-123313995] |
[a1,a2,a3,a4,a6] |
Generators |
[6649731:630445330:729] |
Generators of the group modulo torsion |
j |
-1107111813625/1228691592 |
j-invariant |
L |
4.2018785477454 |
L(r)(E,1)/r! |
Ω |
0.095607482264785 |
Real period |
R |
10.98731618138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998807 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17238n2 306a2 |
Quadratic twists by: -3 13 |