Cremona's table of elliptic curves

4928 = 2⁶ · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	4928m	Isogeny class
Conductor	4928	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1730871296 = 216 · 74 · 11	Discriminant
Eigenvalues	2+  0  2 7- 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1004,12080]	[a1,a2,a3,a4,a6]
Generators	[-8:140:1]	Generators of the group modulo torsion
j	1707831108/26411	j-invariant
L	4.2295543660862	L(r)(E,1)/r!
Ω	1.4950569713045	Real period
R	1.4145127735151	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	4928s3 616e3 44352cc4 123200k4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928m3

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

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Quadratic twists for elliptic curve 4928m3

-4	8	-3	5	-7	-11
4928s3	616e3	44352cc4	123200k4	34496be4	54208h4

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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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