Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18600z |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9039600000000 = 210 · 36 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15408,716688] |
[a1,a2,a3,a4,a6] |
Generators |
[48:300:1] |
Generators of the group modulo torsion |
j |
25285452196/564975 |
j-invariant |
L |
6.5581093237522 |
L(r)(E,1)/r! |
Ω |
0.73018706234356 |
Real period |
R |
0.74845082650279 |
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 |
37200f2 55800m2 3720a2 |
Quadratic twists by: -4 -3 5 |