Atkin-Lehner |
2- 3- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18054t |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-400787127222408 = -1 · 23 · 315 · 17 · 593 |
Discriminant |
Eigenvalues |
2- 3- 0 5 6 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30470,2270045] |
[a1,a2,a3,a4,a6] |
j |
-4291411730937625/549776580552 |
j-invariant |
L |
6.2020233292043 |
L(r)(E,1)/r! |
Ω |
0.51683527743369 |
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 |
6018d1 |
Quadratic twists by: -3 |