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	2184h	Isogeny class
Conductor	2184	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	230223092736 = 210 · 3 · 78 · 13	Discriminant
Eigenvalues	2- 3+  2 7+  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1632,11100]	[a1,a2,a3,a4,a6]
Generators	[62:380:1]	Generators of the group modulo torsion
j	469732169092/224827239	j-invariant
L	2.8984849664269	L(r)(E,1)/r!
Ω	0.88431308490466	Real period
R	3.277668300859	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	4368m3 17472w4 6552h3 54600x3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184h4

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	+	0	-	-6	-4	0	-2	-8	6	6	4	-12	-2	0	-2	-12	4	10	-16	0	-2	2

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Quadratic twists for elliptic curve 2184h4

-4	8	-3	5	-7	13
4368m3	17472w4	6552h3	54600x3	15288bd3	28392g3

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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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