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	2	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	34496 = 26 · 72 · 11	Discriminant
Eigenvalues	2+  2  2 7+ 11+ -4  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12,-10]	[a1,a2,a3,a4,a6]
Generators	[165:280:27]	Generators of the group modulo torsion
j	3241792/539	j-invariant
L	5.4661070404722	L(r)(E,1)/r!
Ω	2.5763638105003	Real period
R	4.243272645109	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	4928q1 2464k2 44352bq1 123200bt1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928d1

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 4928d1

-4	8	-3	5	-7	-11
4928q1	2464k2	44352bq1	123200bt1	34496y1	54208bk1

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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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