Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43316d |
Isogeny class |
Conductor |
43316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-4075379210647472 = -1 · 24 · 79 · 135 · 17 |
Discriminant |
Eigenvalues |
2- 1 0 7- 5 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36587,-1463708] |
[a1,a2,a3,a4,a6] |
Generators |
[39:155:1] |
Generators of the group modulo torsion |
j |
8388608000/6311981 |
j-invariant |
L |
7.1499695347741 |
L(r)(E,1)/r! |
Ω |
0.24562877753704 |
Real period |
R |
4.8514738422708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43316r1 |
Quadratic twists by: -7 |