Atkin-Lehner |
2- 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472ce |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-2041277635584 = -1 · 210 · 312 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 1 11+ -6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1359,-65529] |
[a1,a2,a3,a4,a6] |
Generators |
[90:891:1] |
Generators of the group modulo torsion |
j |
270871003904/1993435191 |
j-invariant |
L |
6.4246755812707 |
L(r)(E,1)/r! |
Ω |
0.41160410688047 |
Real period |
R |
0.65036964267136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65472k1 16368c1 |
Quadratic twists by: -4 8 |