Cremona's table of elliptic curves

2184 = 2³ · 3 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	2184k	Isogeny class
Conductor	2184	Conductor
∏ cp	112	Product of Tamagawa factors cp
Δ	779968320768 = 28 · 314 · 72 · 13	Discriminant
Eigenvalues	2- 3-  0 7+ -2 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2668,-32656]	[a1,a2,a3,a4,a6]
Generators	[-22:126:1]	Generators of the group modulo torsion
j	8207369602000/3046751253	j-invariant
L	3.4798031617156	L(r)(E,1)/r!
Ω	0.68507701351598	Real period
R	0.18140834080705	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	4368e2 17472b2 6552f2 54600i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184k2

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
-	-	0	+	-2	+	-2	0	-8	2	-4	6	-8	-4	6	-2	-2	2	-4	-6	-2	0	-6	4	-2

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Quadratic twists for elliptic curve 2184k2

-4	8	-3	5	-7	13
4368e2	17472b2	6552f2	54600i2	15288w2	28392l2

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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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