Atkin-Lehner |
3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12483i |
Isogeny class |
Conductor |
12483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
91887229319553 = 320 · 192 · 73 |
Discriminant |
Eigenvalues |
1 3- 4 -4 -2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11295,30888] |
[a1,a2,a3,a4,a6] |
Generators |
[10542:376059:8] |
Generators of the group modulo torsion |
j |
218613268577521/126045582057 |
j-invariant |
L |
6.1896258793047 |
L(r)(E,1)/r! |
Ω |
0.51289641990368 |
Real period |
R |
6.0339920879805 |
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 |
4161e2 |
Quadratic twists by: -3 |