Atkin-Lehner |
2- 3- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bo |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
118995999696 = 24 · 37 · 7 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16259,801843] |
[a1,a2,a3,a4,a6] |
Generators |
[77:6:1] |
Generators of the group modulo torsion |
j |
652007565669097/163231824 |
j-invariant |
L |
13.237148216203 |
L(r)(E,1)/r! |
Ω |
1.0228322188631 |
Real period |
R |
1.6177076709644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274l2 |
Quadratic twists by: -3 |