Atkin-Lehner |
2+ 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054j |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-3857226087838777344 = -1 · 230 · 36 · 174 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 2 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-145421685,675017867317] |
[a1,a2,a3,a4,a6] |
j |
-466534433251600609479662161/5291119462055936 |
j-invariant |
L |
1.3950737662434 |
L(r)(E,1)/r! |
Ω |
0.17438422078042 |
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 |
2006g1 |
Quadratic twists by: -3 |