Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317i |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
339725263186236249 = 316 · 78 · 372 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-580586,-167803464] |
[a1,a2,a3,a4,a6] |
j |
252352098250057/3961065969 |
j-invariant |
L |
1.384956402939 |
L(r)(E,1)/r! |
Ω |
0.17311955036737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5439b2 2331a2 |
Quadratic twists by: -3 -7 |