Cremona's table of elliptic curves

4602 = 2 · 3 · 13 · 59

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 59+	Signs for the Atkin-Lehner involutions
Class	4602f	Isogeny class
Conductor	4602	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	16612029481008 = 24 · 3 · 134 · 594	Discriminant
Eigenvalues	2- 3-  2  4 -4 13- -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-12512,500688]	[a1,a2,a3,a4,a6]
j	216623759464300033/16612029481008	j-invariant
L	5.4379434426246	L(r)(E,1)/r!
Ω	0.67974293032808	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	36816m3 13806f4 115050f3 59826l3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4602f3

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	-4	-	-6	8	8	-2	-8	6	-10	8	8	-10	+	6	4	8	-6	8	-4	2	2

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Quadratic twists for elliptic curve 4602f3

-4	-3	5	13
36816m3	13806f4	115050f3	59826l3

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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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