Atkin-Lehner |
2- 3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
17040x |
Isogeny class |
Conductor |
17040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
56206572503040 = 214 · 33 · 5 · 714 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47760,-4017132] |
[a1,a2,a3,a4,a6] |
j |
2941479403457041/13722307740 |
j-invariant |
L |
3.8764651659691 |
L(r)(E,1)/r! |
Ω |
0.32303876383076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2130l3 68160bv4 51120bf4 85200bk4 |
Quadratic twists by: -4 8 -3 5 |