Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bx |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4884332544 = 216 · 32 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,-1311] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:39:1] |
Generators of the group modulo torsion |
j |
153091012/74529 |
j-invariant |
L |
3.0155334190339 |
L(r)(E,1)/r! |
Ω |
1.089095234691 |
Real period |
R |
1.3844213632472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472bk2 4368f2 52416fi2 122304hg2 |
Quadratic twists by: -4 8 -3 -7 |