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	4928bh	Isogeny class
Conductor	4928	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-10879762432 = -1 · 218 · 73 · 112	Discriminant
Eigenvalues	2-  2  2 7- 11- -4  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,223,-4927]	[a1,a2,a3,a4,a6]
j	4657463/41503	j-invariant
L	3.8007687424932	L(r)(E,1)/r!
Ω	0.6334614570822	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4928e1 1232i1 44352en1 123200ew1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928bh1

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

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Quadratic twists for elliptic curve 4928bh1

-4	8	-3	5	-7	-11
4928e1	1232i1	44352en1	123200ew1	34496dp1	54208cf1

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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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