Atkin-Lehner |
2+ 3+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064a |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
224142336 = 210 · 33 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4299,-108490] |
[a1,a2,a3,a4,a6] |
Generators |
[2046:800:27] |
Generators of the group modulo torsion |
j |
317806171596/8107 |
j-invariant |
L |
8.1721023618884 |
L(r)(E,1)/r! |
Ω |
0.58960119913296 |
Real period |
R |
6.9301948282378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128f2 53064n2 |
Quadratic twists by: -4 -3 |