Atkin-Lehner |
2+ 3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
5538h |
Isogeny class |
Conductor |
5538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-778687104 = -1 · 27 · 3 · 134 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 5 13- -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-579,-5570] |
[a1,a2,a3,a4,a6] |
Generators |
[28:5:1] |
Generators of the group modulo torsion |
j |
-21413157997609/778687104 |
j-invariant |
L |
3.5271151354897 |
L(r)(E,1)/r! |
Ω |
0.48569464064265 |
Real period |
R |
1.8155003372195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44304f1 16614w1 71994bu1 |
Quadratic twists by: -4 -3 13 |