Atkin-Lehner |
2+ 3- 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
33726h |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
148746649451089536 = 27 · 312 · 7 · 11 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133500,-2867654] |
[a1,a2,a3,a4,a6] |
j |
263125436012153483833/148746649451089536 |
j-invariant |
L |
3.2309090580969 |
L(r)(E,1)/r! |
Ω |
0.2692424215082 |
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 |
101178bu3 |
Quadratic twists by: -3 |