Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080bo |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2938807111680 = -1 · 212 · 34 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1775,76705] |
[a1,a2,a3,a4,a6] |
j |
85184/405 |
j-invariant |
L |
2.3047621895221 |
L(r)(E,1)/r! |
Ω |
0.57619054759683 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58080x2 116160cs1 480b4 |
Quadratic twists by: -4 8 -11 |