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	2184b	Isogeny class
Conductor	2184	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	76317696 = 210 · 32 · 72 · 132	Discriminant
Eigenvalues	2+ 3+  2 7- -4 13+  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-112,220]	[a1,a2,a3,a4,a6]
j	153091012/74529	j-invariant
L	1.7201652113125	L(r)(E,1)/r!
Ω	1.7201652113125	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4368f2 17472bk2 6552v2 54600cf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184b2

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	-4	10	8	2	10	4	-8	-6	-8	2	-8	8	6	8	8	2	14

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Quadratic twists for elliptic curve 2184b2

-4	8	-3	5	-7	13
4368f2	17472bk2	6552v2	54600cf2	15288n2	28392r2

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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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