Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
103428j |
Isogeny class |
Conductor |
103428 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
154197150496738128 = 24 · 312 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 4 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239304,-40905943] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:2023:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
10.315326200916 |
L(r)(E,1)/r! |
Ω |
0.21727146303066 |
Real period |
R |
3.9563894058885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002567 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34476f1 7956b1 |
Quadratic twists by: -3 13 |