Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054v |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-941705587851264 = -1 · 218 · 36 · 174 · 59 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 2 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9022,1436865] |
[a1,a2,a3,a4,a6] |
Generators |
[129:2111:1] |
Generators of the group modulo torsion |
j |
111416568869159/1291777212416 |
j-invariant |
L |
7.3261401130167 |
L(r)(E,1)/r! |
Ω |
0.3661107704892 |
Real period |
R |
0.27792666650632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006b1 |
Quadratic twists by: -3 |