Atkin-Lehner |
2- 3+ 7- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
96642bm |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
17578405232152128 = 26 · 39 · 72 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-160189220,-780325419257] |
[a1,a2,a3,a4,a6] |
Generators |
[16993:1176533:1] |
Generators of the group modulo torsion |
j |
23095761026566909788682875/893075508416 |
j-invariant |
L |
11.497800763429 |
L(r)(E,1)/r! |
Ω |
0.042436663715071 |
Real period |
R |
7.5261183747626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96642j1 |
Quadratic twists by: -3 |