Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27560d |
Isogeny class |
Conductor |
27560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
110240000 = 28 · 54 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 6 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-196,996] |
[a1,a2,a3,a4,a6] |
j |
3269383504/430625 |
j-invariant |
L |
3.6149041316679 |
L(r)(E,1)/r! |
Ω |
1.8074520658344 |
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 |
55120a1 |
Quadratic twists by: -4 |