Atkin-Lehner |
3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111033d |
Isogeny class |
Conductor |
111033 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
256868294553 = 36 · 136 · 73 |
Discriminant |
Eigenvalues |
1 3- 2 -2 -2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1806,17135] |
[a1,a2,a3,a4,a6] |
Generators |
[-370:275:8] [-2:145:1] |
Generators of the group modulo torsion |
j |
185193/73 |
j-invariant |
L |
14.532017290131 |
L(r)(E,1)/r! |
Ω |
0.89440678881153 |
Real period |
R |
8.1238299359752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12337a1 657d1 |
Quadratic twists by: -3 13 |