Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
43512bn |
Isogeny class |
Conductor |
43512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-518599929934128 = -1 · 24 · 3 · 78 · 374 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19959,-1548870] |
[a1,a2,a3,a4,a6] |
Generators |
[503:10767:1] |
Generators of the group modulo torsion |
j |
-467147020288/275501667 |
j-invariant |
L |
5.204613854643 |
L(r)(E,1)/r! |
Ω |
0.19554007341763 |
Real period |
R |
3.3270762379262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024t1 6216m1 |
Quadratic twists by: -4 -7 |