Atkin-Lehner |
3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923a |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4431083773675923 = -1 · 33 · 76 · 136 · 172 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42474,4659179] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2053:1] |
Generators of the group modulo torsion |
j |
-313859434290315003/164114213839849 |
j-invariant |
L |
3.2986829986708 |
L(r)(E,1)/r! |
Ω |
0.40587287369351 |
Real period |
R |
2.0318449522459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13923b2 97461c2 |
Quadratic twists by: -3 -7 |