Atkin-Lehner |
2- 3- 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bx |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.5091512416263E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2179016,1371174900] |
[a1,a2,a3,a4,a6] |
Generators |
[676:-14406:1] |
Generators of the group modulo torsion |
j |
-279347777858329128649/36844512735017610 |
j-invariant |
L |
4.5807834529569 |
L(r)(E,1)/r! |
Ω |
0.17716859622762 |
Real period |
R |
1.6159690342703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130f4 |
Quadratic twists by: -4 |