Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586q |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27262253814118848 = 26 · 34 · 79 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-93861,7699024] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:4422:1] |
Generators of the group modulo torsion |
j |
2266158235375/675584064 |
j-invariant |
L |
3.4534774039893 |
L(r)(E,1)/r! |
Ω |
0.34797581819363 |
Real period |
R |
1.2405594093853 |
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 |
44688cg2 16758ba2 5586g2 106134cb2 |
Quadratic twists by: -4 -3 -7 -19 |