Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18564q |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
32640635664 = 24 · 33 · 7 · 133 · 173 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42302,-3362931] |
[a1,a2,a3,a4,a6] |
Generators |
[-119:3:1] |
Generators of the group modulo torsion |
j |
523234893686948608/2040039729 |
j-invariant |
L |
5.0595615946112 |
L(r)(E,1)/r! |
Ω |
0.33289599900333 |
Real period |
R |
1.6887361584262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256bs2 55692bi2 129948n2 |
Quadratic twists by: -4 -3 -7 |