Cremona's table of elliptic curves

4872 = 2³ · 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 29+	Signs for the Atkin-Lehner involutions
Class	4872f	Isogeny class
Conductor	4872	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	379782144 = 210 · 32 · 72 · 292	Discriminant
Eigenvalues	2+ 3- -2 7+  4 -6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-224,816]	[a1,a2,a3,a4,a6]
j	1219284868/370881	j-invariant
L	1.5691766088426	L(r)(E,1)/r!
Ω	1.5691766088426	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9744c2 38976h2 14616l2 121800bg2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4872f2

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	-6	-6	-4	8	+	8	2	-6	4	12	2	-12	2	12	16	6	-4	4	18	-2

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Quadratic twists for elliptic curve 4872f2

-4	8	-3	5	-7
9744c2	38976h2	14616l2	121800bg2	34104e2

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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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