Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228b |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
1121094912 = 28 · 3 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 3 4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1773,29289] |
[a1,a2,a3,a4,a6] |
Generators |
[16:69:1] |
Generators of the group modulo torsion |
j |
49165312000/89373 |
j-invariant |
L |
4.7355807349171 |
L(r)(E,1)/r! |
Ω |
1.5477001949592 |
Real period |
R |
3.0597532715578 |
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 |
72912cu2 54684k2 18228j2 |
Quadratic twists by: -4 -3 -7 |