Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542n |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
61664149429219584 = 28 · 310 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-375562,87746300] |
[a1,a2,a3,a4,a6] |
Generators |
[109:6881:1] |
Generators of the group modulo torsion |
j |
242702053576633/2554695936 |
j-invariant |
L |
3.2986504733188 |
L(r)(E,1)/r! |
Ω |
0.35178238393039 |
Real period |
R |
0.93769632136314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
67626bc2 78a2 |
Quadratic twists by: -3 17 |