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	4928n	Isogeny class
Conductor	4928	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-24747740864 = -1 · 26 · 74 · 115	Discriminant
Eigenvalues	2+  1 -1 7- 11-  2  0 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-8071,-281897]	[a1,a2,a3,a4,a6]
Generators	[126:847:1]	Generators of the group modulo torsion
j	-908614343190016/386683451	j-invariant
L	4.2613014439126	L(r)(E,1)/r!
Ω	0.25183851607948	Real period
R	0.84603846747728	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	4928c1 2464e1 44352bv1 123200t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928n1

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	-	-	2	0	-6	-1	0	7	5	6	-2	-4	-10	-13	-4	-9	9	-14	-6	2	-1	-7

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Quadratic twists for elliptic curve 4928n1

-4	8	-3	5	-7	-11
4928c1	2464e1	44352bv1	123200t1	34496bl1	54208j1

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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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