Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5472f |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1364268096 = 26 · 310 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1029,12580] |
[a1,a2,a3,a4,a6] |
j |
2582630848/29241 |
j-invariant |
L |
1.527795685039 |
L(r)(E,1)/r! |
Ω |
1.527795685039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5472v1 10944bi2 1824i1 103968ca1 |
Quadratic twists by: -4 8 -3 -19 |