Atkin-Lehner |
3- 5+ 11- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265p |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-1032406515855 = -1 · 312 · 5 · 112 · 132 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11565,484096] |
[a1,a2,a3,a4,a6] |
j |
-234668187084241/1416195495 |
j-invariant |
L |
3.5223050648202 |
L(r)(E,1)/r! |
Ω |
0.88057630009115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40755h1 |
Quadratic twists by: -3 |