Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
59328be |
Isogeny class |
Conductor |
59328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
72643580116992 = 214 · 316 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16860,-736112] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:216:1] |
Generators of the group modulo torsion |
j |
44376082000/6082047 |
j-invariant |
L |
3.4970103093059 |
L(r)(E,1)/r! |
Ω |
0.4227799139222 |
Real period |
R |
2.0678668702077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59328o2 14832g2 19776bb2 |
Quadratic twists by: -4 8 -3 |