Atkin-Lehner |
2+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350bb |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
16915333120000 = 218 · 54 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -6 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-268301,-53512952] |
[a1,a2,a3,a4,a6] |
Generators |
[-8079:4538:27] |
Generators of the group modulo torsion |
j |
1423364342728825/11272192 |
j-invariant |
L |
3.2726140500962 |
L(r)(E,1)/r! |
Ω |
0.20977048489828 |
Real period |
R |
2.6001545096189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105350bv2 105350bq2 |
Quadratic twists by: 5 -7 |