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	56	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-14198668848 = -1 · 24 · 37 · 74 · 132	Discriminant
Eigenvalues	2- 3-  0 7+ -2 13+ -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,517,-3354]	[a1,a2,a3,a4,a6]
Generators	[19:117:1]	Generators of the group modulo torsion
j	953312000000/887416803	j-invariant
L	3.4798031617156	L(r)(E,1)/r!
Ω	0.68507701351598	Real period
R	0.3628166816141	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	4368e1 17472b1 6552f1 54600i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184k1

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 2184k1

-4	8	-3	5	-7	13
4368e1	17472b1	6552f1	54600i1	15288w1	28392l1

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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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