Atkin-Lehner |
2- 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822bb |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-137776368353904 = -1 · 24 · 316 · 7 · 17 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-119534,15946733] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:5611:1] |
Generators of the group modulo torsion |
j |
-259099834541964697/188993646576 |
j-invariant |
L |
11.79981701585 |
L(r)(E,1)/r! |
Ω |
0.57745480813732 |
Real period |
R |
2.5542728303197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274t1 |
Quadratic twists by: -3 |