Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136d |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1309309940736 = 210 · 37 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4899,-119950] |
[a1,a2,a3,a4,a6] |
j |
17418812548/1753941 |
j-invariant |
L |
2.2974276191588 |
L(r)(E,1)/r! |
Ω |
0.5743569047897 |
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 |
8568k3 68544dp4 5712b3 119952bm4 |
Quadratic twists by: -4 8 -3 -7 |