Cremona's table of elliptic curves

4884 = 2² · 3 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 37+	Signs for the Atkin-Lehner involutions
Class	4884d	Isogeny class
Conductor	4884	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	77851311511248 = 24 · 38 · 114 · 373	Discriminant
Eigenvalues	2- 3-  2  4 11- -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-13617,-444852]	[a1,a2,a3,a4,a6]
j	17453395699253248/4865706969453	j-invariant
L	3.6101002919285	L(r)(E,1)/r!
Ω	0.45126253649106	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19536r1 78144j1 14652e1 122100n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4884d1

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	4	-	-2	-2	-6	6	-2	10	+	-10	10	4	10	6	-2	12	-4	6	-14	16	10	10

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Quadratic twists for elliptic curve 4884d1

-4	8	-3	5	-11
19536r1	78144j1	14652e1	122100n1	53724i1

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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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