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	4928d	Isogeny class
Conductor	4928	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-3469312 = -1 · 212 · 7 · 112	Discriminant
Eigenvalues	2+  2  2 7+ 11+ -4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,23,-87]	[a1,a2,a3,a4,a6]
Generators	[21:96:1]	Generators of the group modulo torsion
j	314432/847	j-invariant
L	5.4661070404722	L(r)(E,1)/r!
Ω	1.2881819052501	Real period
R	2.1216363225545	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	4928q2 2464k1 44352bq2 123200bt2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928d2

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

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Quadratic twists for elliptic curve 4928d2

-4	8	-3	5	-7	-11
4928q2	2464k1	44352bq2	123200bt2	34496y2	54208bk2

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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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