Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44460h |
Isogeny class |
Conductor |
44460 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-1535338788562800 = -1 · 24 · 316 · 52 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13+ -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-991533,380026793] |
[a1,a2,a3,a4,a6] |
Generators |
[584:385:1] |
Generators of the group modulo torsion |
j |
-9242675799865044736/131630554575 |
j-invariant |
L |
6.6842822636741 |
L(r)(E,1)/r! |
Ω |
0.43504199254779 |
Real period |
R |
3.8411707249968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14820d1 |
Quadratic twists by: -3 |