Atkin-Lehner |
7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43771c |
Isogeny class |
Conductor |
43771 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-1.9402136641927E+19 |
Discriminant |
Eigenvalues |
2 -2 1 7+ -3 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-998170,438129137] |
[a1,a2,a3,a4,a6] |
Generators |
[-49612426:2778275673:97336] |
Generators of the group modulo torsion |
j |
-134831345299456/23784977251 |
j-invariant |
L |
7.1828307952808 |
L(r)(E,1)/r! |
Ω |
0.20860843258961 |
Real period |
R |
11.477373671025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43771i1 |
Quadratic twists by: 13 |