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	16184b	Isogeny class
Conductor	16184	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-583125998529120256 = -1 · 211 · 74 · 179	Discriminant
Eigenvalues	2- -2 -2 7+  2 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,129376,32121376]	[a1,a2,a3,a4,a6]
j	986078/2401	j-invariant
L	0.81077843476143	L(r)(E,1)/r!
Ω	0.20269460869036	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	32368d2 129472i2 113288x2 16184f2	Quadratic twists by: -4 8 -7 17

Hecke Eigenvalues for elliptic curve 16184b2

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	-2	+	2	-2	+	4	4	-2	8	2	0	4	-12	-14	12	10	4	12	4	4	-12	6	0

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Quadratic twists for elliptic curve 16184b2

-4	8	-7	17
32368d2	129472i2	113288x2	16184f2

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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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