Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bn |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
-1732587174593437500 = -1 · 22 · 314 · 57 · 132 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2808,63328716] |
[a1,a2,a3,a4,a6] |
Generators |
[90:7974:1] |
Generators of the group modulo torsion |
j |
214921799/152106418620 |
j-invariant |
L |
4.7396932631726 |
L(r)(E,1)/r! |
Ω |
0.21031518650057 |
Real period |
R |
2.8170179477502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050ce1 22230bh1 |
Quadratic twists by: -3 5 |