Atkin-Lehner |
2+ 3+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774a |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4293494223444 = -1 · 22 · 36 · 176 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 3 1 3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1306,100792] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-298:1] |
Generators of the group modulo torsion |
j |
-10218313/177876 |
j-invariant |
L |
5.8045770737492 |
L(r)(E,1)/r! |
Ω |
0.6558568945722 |
Real period |
R |
1.10629642223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999759986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
366f1 |
Quadratic twists by: 17 |