Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15561d |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
233424850113 = 39 · 7 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118004,15631886] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:4909:1] |
Generators of the group modulo torsion |
j |
249277408000169977/320198697 |
j-invariant |
L |
3.0509322817503 |
L(r)(E,1)/r! |
Ω |
0.83931496718556 |
Real period |
R |
0.90875666496836 |
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 |
5187d3 108927w4 |
Quadratic twists by: -3 -7 |