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	4928c	Isogeny class
Conductor	4928	Conductor
∏ cp	2	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	[56:49:1]	Generators of the group modulo torsion
j	-908614343190016/386683451	j-invariant
L	2.7577489179994	L(r)(E,1)/r!
Ω	1.1759979913144	Real period
R	1.1725142977995	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	4928n1 2464j1 44352bf1 123200bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928c1

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 4928c1

-4	8	-3	5	-7	-11
4928n1	2464j1	44352bf1	123200bm1	34496m1	54208bi1

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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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