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	4928o	Isogeny class
Conductor	4928	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-7394523958976 = -1 · 26 · 72 · 119	Discriminant
Eigenvalues	2+ -1 -3 7- 11-  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1763,-128281]	[a1,a2,a3,a4,a6]
Generators	[442:9317:1]	Generators of the group modulo torsion
j	9463555063808/115539436859	j-invariant
L	2.5660509748821	L(r)(E,1)/r!
Ω	0.3650816036195	Real period
R	0.3904836236066	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	4928t3 77b2 44352ch3 123200s3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928o3

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
+	-1	-3	-	-	4	-6	-2	3	6	5	-11	6	-8	0	6	9	10	-5	9	2	-10	-12	-3	-1

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Quadratic twists for elliptic curve 4928o3

-4	8	-3	5	-7	-11
4928t3	77b2	44352ch3	123200s3	34496bi3	54208l3

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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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