Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4402944000000 = 214 · 33 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6321,-167121] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:168:1] |
Generators of the group modulo torsion |
j |
1705021456336/268734375 |
j-invariant |
L |
6.7703233336425 |
L(r)(E,1)/r! |
Ω |
0.54111462255871 |
Real period |
R |
1.0426508310563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360n2 21840bl2 |
Quadratic twists by: -4 8 |