Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856j |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45228699648 = 212 · 310 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9084,-333088] |
[a1,a2,a3,a4,a6] |
Generators |
[117128:1583145:512] |
Generators of the group modulo torsion |
j |
27763077952/15147 |
j-invariant |
L |
7.4430782673927 |
L(r)(E,1)/r! |
Ω |
0.48904012609978 |
Real period |
R |
7.609885027937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856bc4 107712ck1 17952m3 |
Quadratic twists by: -4 8 -3 |