Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10647f |
Isogeny class |
Conductor |
10647 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
161605344711447 = 314 · 7 · 136 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59351,-5516728] |
[a1,a2,a3,a4,a6] |
Generators |
[907:25741:1] |
Generators of the group modulo torsion |
j |
6570725617/45927 |
j-invariant |
L |
2.6860763145684 |
L(r)(E,1)/r! |
Ω |
0.30600326553218 |
Real period |
R |
4.3889667482747 |
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 |
3549c4 74529bc3 63a3 |
Quadratic twists by: -3 -7 13 |