Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745d |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.9747977089237E+19 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1537903,-576070568] |
[a1,a2,a3,a4,a6] |
Generators |
[-1152243170:-19867346429:2197000] |
Generators of the group modulo torsion |
j |
83339496416030401/18593645841225 |
j-invariant |
L |
3.6837928797585 |
L(r)(E,1)/r! |
Ω |
0.13773284169331 |
Real period |
R |
13.372964771761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53235be3 88725bt3 124215cw3 1365b3 |
Quadratic twists by: -3 5 -7 13 |