Atkin-Lehner |
2+ 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288l |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4056662989476864 = -1 · 210 · 314 · 134 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35499,-4002230] |
[a1,a2,a3,a4,a6] |
Generators |
[17481:422110:27] |
Generators of the group modulo torsion |
j |
-6627421386148/5434272909 |
j-invariant |
L |
8.3654617921564 |
L(r)(E,1)/r! |
Ω |
0.16804584645874 |
Real period |
R |
6.2226038074729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144n3 18096o4 |
Quadratic twists by: -4 -3 |