Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24288o |
Isogeny class |
Conductor |
24288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
17068829184 = 29 · 32 · 115 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11+ 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672,2124] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
65645911304/33337557 |
j-invariant |
L |
5.8410554449492 |
L(r)(E,1)/r! |
Ω |
1.0889928994829 |
Real period |
R |
2.6818611249545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24288m1 48576cr1 72864p1 |
Quadratic twists by: -4 8 -3 |