Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3362b |
Isogeny class |
Conductor |
3362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
15969850458242 = 2 · 418 |
Discriminant |
Eigenvalues |
2+ 2 -2 4 2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-19366,-1027446] |
[a1,a2,a3,a4,a6] |
Generators |
[-57231:122986:729] |
Generators of the group modulo torsion |
j |
169112377/3362 |
j-invariant |
L |
3.4669896198044 |
L(r)(E,1)/r! |
Ω |
0.40519243793808 |
Real period |
R |
8.5564025761365 |
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 |
26896e2 107584d2 30258s2 84050n2 |
Quadratic twists by: -4 8 -3 5 |