Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072k |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
136411693056 = 214 · 311 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -1 -1 -1 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2928,-58336] |
[a1,a2,a3,a4,a6] |
j |
232428544/11421 |
j-invariant |
L |
2.603988066824 |
L(r)(E,1)/r! |
Ω |
0.65099701670606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27072cl1 3384g1 9024i1 |
Quadratic twists by: -4 8 -3 |