Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456k |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-3425283663200256 = -1 · 232 · 3 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21249,-3050751] |
[a1,a2,a3,a4,a6] |
j |
-4047806261953/13066420224 |
j-invariant |
L |
1.0930629552714 |
L(r)(E,1)/r! |
Ω |
0.18217715921191 |
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 |
27456co1 858l1 82368cj1 |
Quadratic twists by: -4 8 -3 |