Cremona's table of elliptic curves

4576 = 2⁵ · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 11- 13+	Signs for the Atkin-Lehner involutions
Class	4576d	Isogeny class
Conductor	4576	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-160855552 = -1 · 29 · 11 · 134	Discriminant
Eigenvalues	2+  0  2 -4 11- 13+ -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,61,582]	[a1,a2,a3,a4,a6]
j	49027896/314171	j-invariant
L	1.3187068957869	L(r)(E,1)/r!
Ω	1.3187068957869	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	4576a4 9152t4 41184z2 114400z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4576d4

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
+	0	2	-4	-	+	-6	-4	8	-6	8	2	6	4	8	-2	12	-14	12	0	6	0	4	-6	18

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Quadratic twists for elliptic curve 4576d4

-4	8	-3	5	-11	13
4576a4	9152t4	41184z2	114400z2	50336v2	59488n2

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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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