Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
53664g |
Isogeny class |
Conductor |
53664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-110762496 = -1 · 29 · 32 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 2 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96,324] |
[a1,a2,a3,a4,a6] |
Generators |
[0:18:1] [13:60:1] |
Generators of the group modulo torsion |
j |
189119224/216333 |
j-invariant |
L |
6.6498892752385 |
L(r)(E,1)/r! |
Ω |
1.2498767273819 |
Real period |
R |
2.6602180557325 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53664e2 107328be2 |
Quadratic twists by: -4 8 |