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	4928ba	Isogeny class
Conductor	4928	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-2719940608 = -1 · 216 · 73 · 112	Discriminant
Eigenvalues	2-  0  0 7- 11+  6  0 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,340,-688]	[a1,a2,a3,a4,a6]
Generators	[13:77:1]	Generators of the group modulo torsion
j	66325500/41503	j-invariant
L	3.8323638808116	L(r)(E,1)/r!
Ω	0.8272870199481	Real period
R	0.77207462231025	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	4928g1 1232e1 44352er1 123200ec1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928ba1

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

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Quadratic twists for elliptic curve 4928ba1

-4	8	-3	5	-7	-11
4928g1	1232e1	44352er1	123200ec1	34496ce1	54208bu1

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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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