Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dj |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1553526931635000000 = 26 · 312 · 57 · 7 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1959553355,-33386998730853] |
[a1,a2,a3,a4,a6] |
Generators |
[-1294548711:647297870:50653] |
Generators of the group modulo torsion |
j |
73054578035931991395831649/136386452160 |
j-invariant |
L |
8.6764109316412 |
L(r)(E,1)/r! |
Ω |
0.022691347223419 |
Real period |
R |
7.9659686706403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850b5 10710l4 |
Quadratic twists by: -3 5 |