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	2184j	Isogeny class
Conductor	2184	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-52635827854891008 = -1 · 211 · 324 · 7 · 13	Discriminant
Eigenvalues	2- 3+ -2 7- -4 13- -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-173264,-29815860]	[a1,a2,a3,a4,a6]
j	-280880296871140514/25701087819771	j-invariant
L	0.93116173316074	L(r)(E,1)/r!
Ω	0.11639521664509	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4368k6 17472bh6 6552m6 54600u5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2184j6

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	-	-6	4	0	6	0	6	-6	4	0	-2	4	-2	4	0	-6	8	12	10	-14

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Quadratic twists for elliptic curve 2184j6

-4	8	-3	5	-7	13
4368k6	17472bh6	6552m6	54600u5	15288bc6	28392b5

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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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