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	2184m	Isogeny class
Conductor	2184	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	512	Modular degree for the optimal curve
Δ	66869712 = 24 · 38 · 72 · 13	Discriminant
Eigenvalues	2- 3- -2 7- -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-239,1290]	[a1,a2,a3,a4,a6]
Generators	[-17:27:1]	Generators of the group modulo torsion
j	94757435392/4179357	j-invariant
L	3.2926260654929	L(r)(E,1)/r!
Ω	1.9361572381679	Real period
R	0.85029924238192	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4368d1 17472h1 6552l1 54600d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184m1

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

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Quadratic twists for elliptic curve 2184m1

-4	8	-3	5	-7	13
4368d1	17472h1	6552l1	54600d1	15288u1	28392j1

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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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