Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472be |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8781191507262046208 = 219 · 74 · 178 |
Discriminant |
Eigenvalues |
2+ 2 0 7- -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-518273,17411201] |
[a1,a2,a3,a4,a6] |
j |
2433138625/1387778 |
j-invariant |
L |
3.1801006785529 |
L(r)(E,1)/r! |
Ω |
0.19875633173895 |
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 |
129472cf2 4046q2 7616b2 |
Quadratic twists by: -4 8 17 |