Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
86688br |
Isogeny class |
Conductor |
86688 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6291468288 = 212 · 36 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1980,33696] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-36:1] [-26:260:1] |
Generators of the group modulo torsion |
j |
287496000/2107 |
j-invariant |
L |
11.14970888207 |
L(r)(E,1)/r! |
Ω |
1.3467821560599 |
Real period |
R |
1.0348471012953 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998851 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86688k2 9632d2 |
Quadratic twists by: -4 -3 |