Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3744l |
Isogeny class |
Conductor |
3744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
672523705152 = 26 · 314 · 133 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26121,1624444] |
[a1,a2,a3,a4,a6] |
Generators |
[-151:1458:1] |
Generators of the group modulo torsion |
j |
42246001231552/14414517 |
j-invariant |
L |
3.3702649038632 |
L(r)(E,1)/r! |
Ω |
0.89000265194186 |
Real period |
R |
1.8934016075738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3744d1 7488z2 1248c1 93600bs1 |
Quadratic twists by: -4 8 -3 5 |