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	4928y	Isogeny class
Conductor	4928	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-1068548096 = -1 · 214 · 72 · 113	Discriminant
Eigenvalues	2- -1  1 7+ 11-  0 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,-1571]	[a1,a2,a3,a4,a6]
Generators	[20:77:1]	Generators of the group modulo torsion
j	-1024/65219	j-invariant
L	3.2049011204541	L(r)(E,1)/r!
Ω	0.7093001025113	Real period
R	0.75306655793672	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	4928k1 1232a1 44352dk1 123200gd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928y1

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	1	+	-	0	-2	-2	7	10	-7	9	-2	-4	-8	-2	-15	14	3	-3	10	-10	0	-11	7

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Quadratic twists for elliptic curve 4928y1

-4	8	-3	5	-7	-11
4928k1	1232a1	44352dk1	123200gd1	34496df1	54208cu1

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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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