Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17745n |
Isogeny class |
Conductor |
17745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
63351868125 = 3 · 54 · 7 · 136 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19016,-1010829] |
[a1,a2,a3,a4,a6] |
j |
157551496201/13125 |
j-invariant |
L |
1.6262293906561 |
L(r)(E,1)/r! |
Ω |
0.40655734766403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53235bc4 88725s4 124215be4 105a3 |
Quadratic twists by: -3 5 -7 13 |