Atkin-Lehner |
2- 3- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3162b |
Isogeny class |
Conductor |
3162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4999122 = 2 · 32 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 4 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85,-289] |
[a1,a2,a3,a4,a6] |
j |
67967263441/4999122 |
j-invariant |
L |
3.1590816561419 |
L(r)(E,1)/r! |
Ω |
1.579540828071 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25296l2 101184i2 9486a2 79050c2 |
Quadratic twists by: -4 8 -3 5 |