Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3549c |
Isogeny class |
Conductor |
3549 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
19157604921 = 34 · 72 · 136 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-680,-1519] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:70:1] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
5.3479078324333 |
L(r)(E,1)/r! |
Ω |
1.0009352155569 |
Real period |
R |
2.671455529446 |
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 |
56784bk2 10647f2 88725h2 24843d2 |
Quadratic twists by: -4 -3 5 -7 |