Atkin-Lehner |
3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10089f |
Isogeny class |
Conductor |
10089 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.9718195136778E+23 |
Discriminant |
Eigenvalues |
-1 3- -2 4 -4 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-120812441,510694930046] |
[a1,a2,a3,a4,a6] |
Generators |
[5776:71658:1] |
Generators of the group modulo torsion |
j |
267504540711890354975715913/270482786512729597971 |
j-invariant |
L |
2.4938938106607 |
L(r)(E,1)/r! |
Ω |
0.10004910407789 |
Real period |
R |
2.4926698081366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3363f2 |
Quadratic twists by: -3 |