Cremona's table of elliptic curves

4662 = 2 · 3² · 7 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 37+	Signs for the Atkin-Lehner involutions
Class	4662b	Isogeny class
Conductor	4662	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	251496252 = 22 · 38 · 7 · 372	Discriminant
Eigenvalues	2+ 3- -2 7+ -6 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1323,18841]	[a1,a2,a3,a4,a6]
Generators	[-16:197:1] [-7:170:1]	Generators of the group modulo torsion
j	351447414193/344988	j-invariant
L	3.195106285981	L(r)(E,1)/r!
Ω	1.7428767578527	Real period
R	0.45830926822368	Regulator
r	2	Rank of the group of rational points
S	0.99999999999962	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	37296cf2 1554g2 116550fh2 32634v2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4662b2

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

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Quadratic twists for elliptic curve 4662b2

-4	-3	5	-7
37296cf2	1554g2	116550fh2	32634v2

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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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