Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456d |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29553227218944 = 214 · 36 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17649,-857871] |
[a1,a2,a3,a4,a6] |
Generators |
[1211:41860:1] |
Generators of the group modulo torsion |
j |
37109806448848/1803785841 |
j-invariant |
L |
4.3076780791342 |
L(r)(E,1)/r! |
Ω |
0.41545590282124 |
Real period |
R |
5.1842783432394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27456cg2 3432e2 82368bs2 |
Quadratic twists by: -4 8 -3 |