Atkin-Lehner |
3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
32487b |
Isogeny class |
Conductor |
32487 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-977985674497377 = -1 · 310 · 78 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 4 7- -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-18131,-1781494] |
[a1,a2,a3,a4,a6] |
j |
-5602762882081/8312741073 |
j-invariant |
L |
0.78142751531463 |
L(r)(E,1)/r! |
Ω |
0.19535687883037 |
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 |
97461n2 4641g2 |
Quadratic twists by: -3 -7 |