Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600n |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6473600000000000000 = 219 · 514 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 4 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552419075,-4997480554750] |
[a1,a2,a3,a4,a6] |
j |
291306206119284545407569/101150000000 |
j-invariant |
L |
2.2421511406616 |
L(r)(E,1)/r! |
Ω |
0.031140988066993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950c4 9520h3 |
Quadratic twists by: -4 5 |