Atkin-Lehner |
2- 3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
18156a |
Isogeny class |
Conductor |
18156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19536 |
Modular degree for the optimal curve |
Δ |
-1166437884672 = -1 · 28 · 311 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -6 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1427,-48119] |
[a1,a2,a3,a4,a6] |
j |
1254444032000/4556397987 |
j-invariant |
L |
0.88191572324095 |
L(r)(E,1)/r! |
Ω |
0.44095786162048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72624y1 54468a1 |
Quadratic twists by: -4 -3 |