Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312o |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
524296650752 = 218 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284396,58375856] |
[a1,a2,a3,a4,a6] |
Generators |
[310:64:1] [1366:47104:1] |
Generators of the group modulo torsion |
j |
82483294977/17 |
j-invariant |
L |
8.3821008275609 |
L(r)(E,1)/r! |
Ω |
0.73382964666819 |
Real period |
R |
5.7112034554728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312bt4 833a3 1088e3 |
Quadratic twists by: -4 8 -7 |