Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24480m |
Isogeny class |
Conductor |
24480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6234809241600 = -1 · 212 · 36 · 52 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17292,-883424] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1044:1] |
Generators of the group modulo torsion |
j |
-191501383744/2088025 |
j-invariant |
L |
5.3156184140959 |
L(r)(E,1)/r! |
Ω |
0.20803005062761 |
Real period |
R |
3.1940207665065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24480bd2 48960bn1 2720f2 122400do2 |
Quadratic twists by: -4 8 -3 5 |