Atkin-Lehner |
2- 3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
84162l |
Isogeny class |
Conductor |
84162 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
72384 |
Modular degree for the optimal curve |
Δ |
-1034182656 = -1 · 213 · 32 · 132 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 -5 0 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,146,1451] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:15:1] [17:87:1] |
Generators of the group modulo torsion |
j |
2035680647/6119424 |
j-invariant |
L |
10.57548929327 |
L(r)(E,1)/r! |
Ω |
1.0974177998247 |
Real period |
R |
0.3706424191979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84162c1 |
Quadratic twists by: 13 |