Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
17040w |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21675377295360 = 217 · 38 · 5 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11736,-439020] |
[a1,a2,a3,a4,a6] |
j |
43647670634329/5291840160 |
j-invariant |
L |
3.6986275614467 |
L(r)(E,1)/r! |
Ω |
0.46232844518084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130a2 68160cu2 51120bl2 85200ce2 |
Quadratic twists by: -4 8 -3 5 |