Atkin-Lehner |
2+ 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054l |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-5685710112 = -1 · 25 · 311 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 4 -1 2 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,360,-2592] |
[a1,a2,a3,a4,a6] |
j |
7066834559/7799328 |
j-invariant |
L |
2.9178396082752 |
L(r)(E,1)/r! |
Ω |
0.72945990206879 |
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 |
6018j1 |
Quadratic twists by: -3 |