Atkin-Lehner |
2- 5+ 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17710f |
Isogeny class |
Conductor |
17710 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
7500185000 = 23 · 54 · 72 · 113 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1306151,574454881] |
[a1,a2,a3,a4,a6] |
j |
246435854569316148523249/7500185000 |
j-invariant |
L |
2.7981146490928 |
L(r)(E,1)/r! |
Ω |
0.69952866227319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
88550l2 123970bz2 |
Quadratic twists by: 5 -7 |