Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cn |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-750774946176000 = -1 · 210 · 35 · 53 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8098,1344431] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1155:1] |
Generators of the group modulo torsion |
j |
-19465109/248832 |
j-invariant |
L |
7.4875251273895 |
L(r)(E,1)/r! |
Ω |
0.42910839762621 |
Real period |
R |
0.87245147948743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43350bq3 150a3 |
Quadratic twists by: 5 17 |