Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4046b |
Isogeny class |
Conductor |
4046 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-44292632215552 = -1 · 218 · 7 · 176 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-49280,-4243456] |
[a1,a2,a3,a4,a6] |
Generators |
[699893032623720:5529054772038517:2414733175296] |
Generators of the group modulo torsion |
j |
-548347731625/1835008 |
j-invariant |
L |
3.557944624443 |
L(r)(E,1)/r! |
Ω |
0.1601820032418 |
Real period |
R |
22.211887430776 |
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 |
32368bd5 129472l5 36414cf5 101150cl5 |
Quadratic twists by: -4 8 -3 5 |