Atkin-Lehner |
2- 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
108576bo |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7419593945088 = 212 · 37 · 134 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6204,-134912] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:221:1] |
Generators of the group modulo torsion |
j |
8844058432/2484807 |
j-invariant |
L |
10.491343583675 |
L(r)(E,1)/r! |
Ω |
0.54938292152902 |
Real period |
R |
2.3870744711367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108576bp3 36192s3 |
Quadratic twists by: -4 -3 |