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
Δ	12897690624 = 210 · 32 · 72 · 134	Discriminant
Eigenvalues	2- 3- -2 7- -4 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9464,-357504]	[a1,a2,a3,a4,a6]
Generators	[168:1680:1]	Generators of the group modulo torsion
j	91557481657828/12595401	j-invariant
L	3.2926260654929	L(r)(E,1)/r!
Ω	0.48403930954198	Real period
R	3.4011969695277	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	4368d3 17472h3 6552l3 54600d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184m3

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 2184m3

-4	8	-3	5	-7	13
4368d3	17472h3	6552l3	54600d4	15288u3	28392j4

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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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