Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456z |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
318022848 = 26 · 35 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 11+ 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276,-1638] |
[a1,a2,a3,a4,a6] |
j |
36462258496/4969107 |
j-invariant |
L |
5.9076647586299 |
L(r)(E,1)/r! |
Ω |
1.1815329517261 |
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 |
27456s1 13728e2 82368cb1 |
Quadratic twists by: -4 8 -3 |