Atkin-Lehner |
2- 3+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
18744g |
Isogeny class |
Conductor |
18744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-127759104 = -1 · 28 · 32 · 11 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,-540] |
[a1,a2,a3,a4,a6] |
Generators |
[12:30:1] |
Generators of the group modulo torsion |
j |
-810448/499059 |
j-invariant |
L |
4.8167315088228 |
L(r)(E,1)/r! |
Ω |
0.83393614562818 |
Real period |
R |
1.4439749176463 |
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 |
37488k2 56232e2 |
Quadratic twists by: -4 -3 |