Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32040c |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-23947629004800 = -1 · 211 · 310 · 52 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7197,-14402] |
[a1,a2,a3,a4,a6] |
j |
27613454398/16040025 |
j-invariant |
L |
1.5969635436361 |
L(r)(E,1)/r! |
Ω |
0.39924088590813 |
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 |
64080d2 10680e2 |
Quadratic twists by: -4 -3 |