Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
24208h |
Isogeny class |
Conductor |
24208 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
8799205953536 = 212 · 176 · 89 |
Discriminant |
Eigenvalues |
2- -2 2 -2 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9232,-313260] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:170:1] |
Generators of the group modulo torsion |
j |
21247028137873/2148243641 |
j-invariant |
L |
3.3683877445574 |
L(r)(E,1)/r! |
Ω |
0.49022255124032 |
Real period |
R |
1.1451899877022 |
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 |
1513a2 96832bb2 |
Quadratic twists by: -4 8 |