Atkin-Lehner |
3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31977s |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
745423297641 = 310 · 112 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6044,177518] |
[a1,a2,a3,a4,a6] |
j |
33489000393337/1022528529 |
j-invariant |
L |
1.7912734422255 |
L(r)(E,1)/r! |
Ω |
0.8956367211133 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10659h2 |
Quadratic twists by: -3 |