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	4928r	Isogeny class
Conductor	4928	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-487827467911168 = -1 · 214 · 75 · 116	Discriminant
Eigenvalues	2+ -2 -2 7- 11-  0  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,15311,778095]	[a1,a2,a3,a4,a6]
Generators	[43:1232:1]	Generators of the group modulo torsion
j	24226243449392/29774625727	j-invariant
L	2.3148245441305	L(r)(E,1)/r!
Ω	0.35122003341852	Real period
R	0.21969367005252	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	4928u1 616b1 44352bz1 123200v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928r1

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	-	-	0	4	-4	-4	-2	-2	6	4	4	2	-2	6	-4	0	-12	16	-8	12	10	-2

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Quadratic twists for elliptic curve 4928r1

-4	8	-3	5	-7	-11
4928u1	616b1	44352bz1	123200v1	34496bq1	54208s1

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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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