Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560bs |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
26161997414400 = 220 · 36 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14508,625968] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:999:1] |
Generators of the group modulo torsion |
j |
1767172329/136900 |
j-invariant |
L |
5.3001767729463 |
L(r)(E,1)/r! |
Ω |
0.65433335231391 |
Real period |
R |
2.0250292711156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013084 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106560et2 3330t2 11840o2 |
Quadratic twists by: -4 8 -3 |