Cremona's table of elliptic curves

2928 = 2⁴ · 3 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 61-	Signs for the Atkin-Lehner involutions
Class	2928k	Isogeny class
Conductor	2928	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-535515365376 = -1 · 218 · 32 · 613	Discriminant
Eigenvalues	2- 3+ -3  1  3 -1 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,648,34416]	[a1,a2,a3,a4,a6]
Generators	[42:-366:1]	Generators of the group modulo torsion
j	7335308807/130741056	j-invariant
L	2.4770188302156	L(r)(E,1)/r!
Ω	0.68941778041174	Real period
R	0.29940950424577	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	366f2 11712bh2 8784y2 73200co2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2928k2

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
-	+	-3	1	3	-1	-6	4	-3	0	4	8	-9	4	6	12	-3	-	-5	0	-7	-5	-6	12	-10

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Quadratic twists for elliptic curve 2928k2

-4	8	-3	5
366f2	11712bh2	8784y2	73200co2

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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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