Cremona's table of elliptic curves

462 = 2 · 3 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 11-	Signs for the Atkin-Lehner involutions
Class	462b	Isogeny class
Conductor	462	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-72923718045024 = -1 · 25 · 33 · 78 · 114	Discriminant
Eigenvalues	2+ 3+  2 7+ 11-  2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1444,410800]	[a1,a2,a3,a4,a6]
j	-333345918055753/72923718045024	j-invariant
L	1.0018600265762	L(r)(E,1)/r!
Ω	0.50093001328809	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	3696z4 14784x4 1386g4 11550cl4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 462b4

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	+	-	2	6	-8	4	2	8	6	6	8	4	10	4	-14	-4	-4	-14	-8	4	-14	18

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Quadratic twists for elliptic curve 462b4

-4	8	-3	5	-7	-11	13
3696z4	14784x4	1386g4	11550cl4	3234o4	5082u4	78078ci3

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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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