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	4928z	Isogeny class
Conductor	4928	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-419786752 = -1 · 212 · 7 · 114	Discriminant
Eigenvalues	2- -2  0 7+ 11-  0 -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-313,2247]	[a1,a2,a3,a4,a6]
Generators	[1:44:1]	Generators of the group modulo torsion
j	-830584000/102487	j-invariant
L	2.5067700718964	L(r)(E,1)/r!
Ω	1.6295816364042	Real period
R	0.38457264366146	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	4928be1 2464b1 44352di1 123200gg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928z1

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	0	+	-	0	-6	6	0	6	0	-2	2	4	0	-6	2	-4	-8	16	-2	8	-2	-14	6

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Quadratic twists for elliptic curve 4928z1

-4	8	-3	5	-7	-11
4928be1	2464b1	44352di1	123200gg1	34496dj1	54208db1

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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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