Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ge |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
272614441881600 = 212 · 38 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17241,352359] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:735:1] [210:-2457:1] |
Generators of the group modulo torsion |
j |
138380950431424/66556260225 |
j-invariant |
L |
12.384861126423 |
L(r)(E,1)/r! |
Ω |
0.49001488070835 |
Real period |
R |
0.78982685108127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999687 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360dz2 43680bs1 |
Quadratic twists by: -4 8 |