Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054w |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1263491136 = 26 · 39 · 17 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5054,139533] |
[a1,a2,a3,a4,a6] |
Generators |
[39:5:1] |
Generators of the group modulo torsion |
j |
19580389825177/1733184 |
j-invariant |
L |
8.8694435526639 |
L(r)(E,1)/r! |
Ω |
1.4635456439585 |
Real period |
R |
2.0200812980624 |
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 |
6018a1 |
Quadratic twists by: -3 |