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	4662i	Isogeny class
Conductor	4662	Conductor
∏ cp	108	Product of Tamagawa factors cp
Δ	-321861337595739144 = -1 · 23 · 39 · 79 · 373	Discriminant
Eigenvalues	2+ 3-  3 7-  6 -4  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,141777,-18003627]	[a1,a2,a3,a4,a6]
j	432326451325256207/441510751160136	j-invariant
L	1.9890792871826	L(r)(E,1)/r!
Ω	0.16575660726522	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	37296cb2 1554n2 116550ed2 32634bh2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4662i2

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
+	-	3	-	6	-4	0	-7	-6	6	-4	-	3	8	6	9	-6	8	5	9	2	8	15	0	-1

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Quadratic twists for elliptic curve 4662i2

-4	-3	5	-7
37296cb2	1554n2	116550ed2	32634bh2

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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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