Cremona's table of elliptic curves

16184 = 2³ · 7 · 17²

Field	Data	Notes
Atkin-Lehner	2+ 7+ 17+	Signs for the Atkin-Lehner involutions
Class	16184a	Isogeny class
Conductor	16184	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2422253324288 = 211 · 72 · 176	Discriminant
Eigenvalues	2+ -2  4 7+  0  0 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11656,-482448]	[a1,a2,a3,a4,a6]
Generators	[1643:66470:1]	Generators of the group modulo torsion
j	3543122/49	j-invariant
L	4.238428478668	L(r)(E,1)/r!
Ω	0.4598568175036	Real period
R	4.6084219232378	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	32368e2 129472k2 113288l2 56b2	Quadratic twists by: -4 8 -7 17

Hecke Eigenvalues for elliptic curve 16184a2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-2	4	+	0	0	+	-2	-8	-2	-4	6	2	8	-4	-10	6	-4	-12	0	14	8	6	10	2

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Quadratic twists for elliptic curve 16184a2

-4	8	-7	17
32368e2	129472k2	113288l2	56b2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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