Cremona's table of elliptic curves

6084 = 2² · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	6084n	Isogeny class
Conductor	6084	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	456704790227712 = 28 · 37 · 138	Discriminant
Eigenvalues	2- 3- -4  2 -4 13+ -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30927,1823510]	[a1,a2,a3,a4,a6]
Generators	[247:3042:1]	Generators of the group modulo torsion
j	3631696/507	j-invariant
L	3.063223223012	L(r)(E,1)/r!
Ω	0.50670528539183	Real period
R	1.0075624205114	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	24336cb2 97344ct2 2028c2 468e2	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 6084n2

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
-	-	-4	2	-4	+	-2	2	0	6	10	-10	8	4	-4	10	-8	-14	-2	16	10	-16	0	-4	2

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Quadratic twists for elliptic curve 6084n2

-4	8	-3	13
24336cb2	97344ct2	2028c2	468e2

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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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