Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18880i |
Isogeny class |
Conductor |
18880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38666240000 = 220 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80588,-8805488] |
[a1,a2,a3,a4,a6] |
j |
220797892346121/147500 |
j-invariant |
L |
0.56671143169072 |
L(r)(E,1)/r! |
Ω |
0.28335571584536 |
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 |
18880c4 4720e3 94400bq4 |
Quadratic twists by: -4 8 5 |