Atkin-Lehner |
2- 3+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328n |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-272269435318272 = -1 · 212 · 39 · 72 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -3 2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21600,1457136] |
[a1,a2,a3,a4,a6] |
j |
-13824000000/3377129 |
j-invariant |
L |
2.0979050219015 |
L(r)(E,1)/r! |
Ω |
0.52447625547982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2583a2 41328s1 |
Quadratic twists by: -4 -3 |