Atkin-Lehner |
2- 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
43260c |
Isogeny class |
Conductor |
43260 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
76608 |
Modular degree for the optimal curve |
Δ |
4414106430720 = 28 · 314 · 5 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -3 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4341,-45081] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:243:1] |
Generators of the group modulo torsion |
j |
35347047645184/17242603245 |
j-invariant |
L |
6.2501631534502 |
L(r)(E,1)/r! |
Ω |
0.61786264047144 |
Real period |
R |
0.72255578506112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129780n1 |
Quadratic twists by: -3 |