Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28864b |
Isogeny class |
Conductor |
28864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-776326144 = -1 · 210 · 11 · 413 |
Discriminant |
Eigenvalues |
2+ 2 3 -1 11+ -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3509,-78859] |
[a1,a2,a3,a4,a6] |
Generators |
[840264765:4982809168:9663597] |
Generators of the group modulo torsion |
j |
-4667642871808/758131 |
j-invariant |
L |
9.194904698002 |
L(r)(E,1)/r! |
Ω |
0.31014099202968 |
Real period |
R |
14.823749414463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28864u2 1804a2 |
Quadratic twists by: -4 8 |