Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360by |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
641802503946240 = 215 · 316 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28161,-1359585] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:684:1] [-54:81:1] |
Generators of the group modulo torsion |
j |
75376057236488/19586258055 |
j-invariant |
L |
11.819050131222 |
L(r)(E,1)/r! |
Ω |
0.37563594362755 |
Real period |
R |
3.9330135774223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360p4 43680bl3 |
Quadratic twists by: -4 8 |