Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384cl |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
784623935425324176 = 24 · 313 · 77 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 6 13- 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231843,5471611] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:-5733:1] |
Generators of the group modulo torsion |
j |
118156648749834496/67268855917809 |
j-invariant |
L |
7.6684155719375 |
L(r)(E,1)/r! |
Ω |
0.24329595552282 |
Real period |
R |
0.37522474083528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999686017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37128q1 |
Quadratic twists by: -3 |