Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240ck |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11422607293440000 = 213 · 32 · 54 · 78 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86056,-8273356] |
[a1,a2,a3,a4,a6] |
Generators |
[-196:1050:1] |
Generators of the group modulo torsion |
j |
17207282059040809/2788722483750 |
j-invariant |
L |
5.9195414715082 |
L(r)(E,1)/r! |
Ω |
0.2818008643191 |
Real period |
R |
2.6257644225238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030d4 |
Quadratic twists by: -4 |