Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064n |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
163399762944 = 210 · 39 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-38691,2929230] |
[a1,a2,a3,a4,a6] |
Generators |
[118:82:1] |
Generators of the group modulo torsion |
j |
317806171596/8107 |
j-invariant |
L |
6.3832500060105 |
L(r)(E,1)/r! |
Ω |
0.94724814048757 |
Real period |
R |
3.369365287291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128c2 53064a2 |
Quadratic twists by: -4 -3 |