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	4928bb	Isogeny class
Conductor	4928	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3146802092048384 = 221 · 7 · 118	Discriminant
Eigenvalues	2-  0 -2 7- 11+ -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-38636,-1122480]	[a1,a2,a3,a4,a6]
Generators	[-33114:236375:216]	Generators of the group modulo torsion
j	24331017010833/12004097336	j-invariant
L	3.2359716692061	L(r)(E,1)/r!
Ω	0.35815400937758	Real period
R	9.035140147753	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	4928h4 1232j3 44352ew3 123200dx3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928bb3

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	0	8	2	8	2	10	4	-8	-6	0	-10	-12	-16	-14	0	0	-6	10

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Quadratic twists for elliptic curve 4928bb3

-4	8	-3	5	-7	-11
4928h4	1232j3	44352ew3	123200dx3	34496cf3	54208bw3

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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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