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	16	Product of Tamagawa factors cp
Δ	12036125753344 = 224 · 72 · 114	Discriminant
Eigenvalues	2-  0 -2 7- 11+ -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-20716,1135440]	[a1,a2,a3,a4,a6]
Generators	[2012:90024:1]	Generators of the group modulo torsion
j	3750606459153/45914176	j-invariant
L	3.2359716692061	L(r)(E,1)/r!
Ω	0.71630801875515	Real period
R	4.5175700738765	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4928h2 1232j2 44352ew2 123200dx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928bb2

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 4928bb2

-4	8	-3	5	-7	-11
4928h2	1232j2	44352ew2	123200dx2	34496cf2	54208bw2

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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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