Atkin-Lehner |
2- 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18012f |
Isogeny class |
Conductor |
18012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
22129687296 = 28 · 36 · 19 · 792 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-812,-5580] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:60:1] |
Generators of the group modulo torsion |
j |
231572279248/86444091 |
j-invariant |
L |
6.7729113182882 |
L(r)(E,1)/r! |
Ω |
0.92252292544267 |
Real period |
R |
2.4472422785729 |
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 |
72048p2 54036e2 |
Quadratic twists by: -4 -3 |