Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
10440d |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52131300999840000 = 28 · 318 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1585623,-768428822] |
[a1,a2,a3,a4,a6] |
j |
2362414115152710736/279338675625 |
j-invariant |
L |
2.4217268504039 |
L(r)(E,1)/r! |
Ω |
0.13454038057799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20880i2 83520cw2 3480s2 52200bp2 |
Quadratic twists by: -4 8 -3 5 |