Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4420b |
Isogeny class |
Conductor |
4420 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-312582400 = -1 · 28 · 52 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,60,-812] |
[a1,a2,a3,a4,a6] |
j |
91765424/1221025 |
j-invariant |
L |
1.6868407090422 |
L(r)(E,1)/r! |
Ω |
0.84342035452108 |
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 |
17680m2 70720c2 39780r2 22100f2 |
Quadratic twists by: -4 8 -3 5 |