Atkin-Lehner |
2- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104720w |
Isogeny class |
Conductor |
104720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13211140096000000 = 223 · 56 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 11- -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145576843,676062051642] |
[a1,a2,a3,a4,a6] |
j |
83299166356002077327825889/3225376000000 |
j-invariant |
L |
1.7090225673066 |
L(r)(E,1)/r! |
Ω |
0.21362781487721 |
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 |
13090j2 |
Quadratic twists by: -4 |