Atkin-Lehner |
3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355k |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3346165210815 = 39 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5387,125484] |
[a1,a2,a3,a4,a6] |
Generators |
[14:222:1] |
Generators of the group modulo torsion |
j |
23711636464489/4590075735 |
j-invariant |
L |
2.5933729273365 |
L(r)(E,1)/r! |
Ω |
0.75359954731366 |
Real period |
R |
0.86032858451847 |
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 |
85680fs2 1785a2 26775bp2 37485be2 |
Quadratic twists by: -4 -3 5 -7 |