Atkin-Lehner |
2- 3- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
29172h |
Isogeny class |
Conductor |
29172 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
549182270208 = 28 · 3 · 114 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5148,135924] |
[a1,a2,a3,a4,a6] |
j |
58949987938000/2145243243 |
j-invariant |
L |
1.8328453908648 |
L(r)(E,1)/r! |
Ω |
0.91642269543253 |
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 |
116688q2 87516h2 |
Quadratic twists by: -4 -3 |