Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456w |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-19329024 = -1 · 212 · 3 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23,215] |
[a1,a2,a3,a4,a6] |
j |
314432/4719 |
j-invariant |
L |
3.2213171379525 |
L(r)(E,1)/r! |
Ω |
1.6106585689761 |
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 |
27456o1 13728d1 82368bt1 |
Quadratic twists by: -4 8 -3 |