Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dj |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
8.7780184715664E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-122473355,-521637530853] |
[a1,a2,a3,a4,a6] |
Generators |
[-6387:-1210:1] |
Generators of the group modulo torsion |
j |
17836145204788591940449/770635366502400 |
j-invariant |
L |
8.6764109316412 |
L(r)(E,1)/r! |
Ω |
0.045382694446838 |
Real period |
R |
3.9829843353202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999713 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17850b2 10710l2 |
Quadratic twists by: -3 5 |