Atkin-Lehner |
3- 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31977s |
Isogeny class |
Conductor |
31977 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
116561083670163 = 314 · 11 · 17 · 194 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14459,-418264] |
[a1,a2,a3,a4,a6] |
j |
458545882081897/159891747147 |
j-invariant |
L |
1.7912734422255 |
L(r)(E,1)/r! |
Ω |
0.44781836055665 |
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 |
10659h3 |
Quadratic twists by: -3 |