Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280bh |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8678016000000000000 = -1 · 219 · 37 · 512 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,383892,-108196432] |
[a1,a2,a3,a4,a6] |
j |
32740359775271/45410156250 |
j-invariant |
L |
0.98678596166851 |
L(r)(E,1)/r! |
Ω |
0.12334823592519 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ex3 2790bb4 29760o3 |
Quadratic twists by: -4 8 -3 |