Cremona's table of elliptic curves

4488 = 2³ · 3 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11- 17+	Signs for the Atkin-Lehner involutions
Class	4488b	Isogeny class
Conductor	4488	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1535542272 = -1 · 210 · 36 · 112 · 17	Discriminant
Eigenvalues	2+ 3+  4 -4 11-  2 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,264,828]	[a1,a2,a3,a4,a6]
j	1979654684/1499553	j-invariant
L	1.9285143115249	L(r)(E,1)/r!
Ω	0.96425715576245	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	8976h2 35904bd2 13464q2 112200cp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4488b2

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

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Quadratic twists for elliptic curve 4488b2

-4	8	-3	5	-11	17
8976h2	35904bd2	13464q2	112200cp2	49368ba2	76296g2

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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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