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 |
-83476780050027 = -1 · 3 · 78 · 136 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5750,-471001] |
[a1,a2,a3,a4,a6] |
Generators |
[131:948:1] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
5.3479078324333 |
L(r)(E,1)/r! |
Ω |
0.25023380388922 |
Real period |
R |
2.671455529446 |
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 |
56784bk5 10647f6 88725h5 24843d5 |
Quadratic twists by: -4 -3 5 -7 |