Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ex |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.536301356281E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224225,-11320561023] |
[a1,a2,a3,a4,a6] |
Generators |
[4925669794749514467151:-54623869252630889869620:2121888523426497197] |
Generators of the group modulo torsion |
j |
-4755955967570809/211193136454809600 |
j-invariant |
L |
6.1692387481152 |
L(r)(E,1)/r! |
Ω |
0.051019473111068 |
Real period |
R |
30.229823912425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dm2 21840bt2 |
Quadratic twists by: -4 8 |