Atkin-Lehner |
3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16317k |
Isogeny class |
Conductor |
16317 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
3265373524833 = 37 · 79 · 37 |
Discriminant |
Eigenvalues |
-1 3- 4 7- -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8168,-268446] |
[a1,a2,a3,a4,a6] |
j |
2048383/111 |
j-invariant |
L |
2.0155700928923 |
L(r)(E,1)/r! |
Ω |
0.50389252322307 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5439c1 16317l1 |
Quadratic twists by: -3 -7 |