Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384do |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
613014884352 = 212 · 34 · 133 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11369,-468873] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:36:1] [-62:39:1] |
Generators of the group modulo torsion |
j |
39679734987712/149661837 |
j-invariant |
L |
10.721556003066 |
L(r)(E,1)/r! |
Ω |
0.4624495095125 |
Real period |
R |
1.9320228087125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384cg2 36192d1 |
Quadratic twists by: -4 8 |