Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248d |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
335290171392 = 217 · 36 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 11+ -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5345,149601] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:432:1] |
Generators of the group modulo torsion |
j |
128865945458/2558061 |
j-invariant |
L |
2.8852627624565 |
L(r)(E,1)/r! |
Ω |
0.96198596655184 |
Real period |
R |
0.74981934843303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248ci2 7656d2 |
Quadratic twists by: -4 8 |