Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41616cw |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4499172023048699904 = -1 · 215 · 39 · 178 |
Discriminant |
Eigenvalues |
2- 3- 3 4 3 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5415241251,-153382152309982] |
[a1,a2,a3,a4,a6] |
j |
-843137281012581793/216 |
j-invariant |
L |
5.174190720351 |
L(r)(E,1)/r! |
Ω |
0.0087996440823094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5202e2 13872bb2 41616cp2 |
Quadratic twists by: -4 -3 17 |