Cremona's table of elliptic curves

4669 = 7 · 23 · 29

Field	Data	Notes
Atkin-Lehner	7- 23+ 29+	Signs for the Atkin-Lehner involutions
Class	4669b	Isogeny class
Conductor	4669	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1856	Modular degree for the optimal curve
Δ	-36833741 = -1 · 74 · 232 · 29	Discriminant
Eigenvalues	-1 -1 -3 7-  3 -7 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-452,3522]	[a1,a2,a3,a4,a6]
Generators	[-2:67:1] [10:6:1]	Generators of the group modulo torsion
j	-10214075575873/36833741	j-invariant
L	2.4639004581762	L(r)(E,1)/r!
Ω	2.0652820011265	Real period
R	0.14912615183022	Regulator
r	2	Rank of the group of rational points
S	0.9999999999994	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74704j1 42021m1 116725c1 32683c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4669b1

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	-1	-3	-	3	-7	-6	0	+	+	-5	2	-8	3	3	-11	-12	-6	-14	6	-10	-13	-8	4	6

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Quadratic twists for elliptic curve 4669b1

-4	-3	5	-7	-23
74704j1	42021m1	116725c1	32683c1	107387b1

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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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