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	4928o	Isogeny class
Conductor	4928	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-34496 = -1 · 26 · 72 · 11	Discriminant
Eigenvalues	2+ -1 -3 7- 11-  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-357,2719]	[a1,a2,a3,a4,a6]
Generators	[10:7:1]	Generators of the group modulo torsion
j	-78843215872/539	j-invariant
L	2.5660509748821	L(r)(E,1)/r!
Ω	3.2857344325755	Real period
R	0.3904836236066	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4928t1 77b3 44352ch1 123200s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4928o1

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
+	-1	-3	-	-	4	-6	-2	3	6	5	-11	6	-8	0	6	9	10	-5	9	2	-10	-12	-3	-1

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Quadratic twists for elliptic curve 4928o1

-4	8	-3	5	-7	-11
4928t1	77b3	44352ch1	123200s1	34496bi1	54208l1

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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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