Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664bl |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18665472 = 212 · 3 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 0 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-505,4199] |
[a1,a2,a3,a4,a6] |
j |
3484156096/4557 |
j-invariant |
L |
2.171068481757 |
L(r)(E,1)/r! |
Ω |
2.1710684819071 |
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 |
41664be2 20832v1 124992bp2 |
Quadratic twists by: -4 8 -3 |