Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18810p |
Isogeny class |
Conductor |
18810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-4402038389760 = -1 · 210 · 39 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5132,-172529] |
[a1,a2,a3,a4,a6] |
j |
-759299343867/223646720 |
j-invariant |
L |
5.5563223560185 |
L(r)(E,1)/r! |
Ω |
0.27781611780092 |
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 |
18810a1 94050e1 |
Quadratic twists by: -3 5 |