Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27144n |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
965217893328 = 24 · 38 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2874,35813] |
[a1,a2,a3,a4,a6] |
j |
225079785472/82751877 |
j-invariant |
L |
3.2224799514406 |
L(r)(E,1)/r! |
Ω |
0.8056199878603 |
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 |
54288l1 9048e1 |
Quadratic twists by: -4 -3 |