Atkin-Lehner |
3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745d |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0046215848112E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23098078,-42734836763] |
[a1,a2,a3,a4,a6] |
Generators |
[-57163872638701270:61066565329027601:20638466407000] |
Generators of the group modulo torsion |
j |
282352188585428161201/20813369346315 |
j-invariant |
L |
3.6837928797585 |
L(r)(E,1)/r! |
Ω |
0.068866420846657 |
Real period |
R |
26.745929543522 |
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 |
53235be6 88725bt6 124215cw6 1365b5 |
Quadratic twists by: -3 5 -7 13 |