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	462c	Isogeny class
Conductor	462	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	614922 = 2 · 3 · 7 · 114	Discriminant
Eigenvalues	2+ 3+ -2 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-226,-1406]	[a1,a2,a3,a4,a6]
Generators	[-9:5:1]	Generators of the group modulo torsion
j	1285429208617/614922	j-invariant
L	1.2390297776895	L(r)(E,1)/r!
Ω	1.2306512190259	Real period
R	1.0068082317184	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3696u4 14784bd3 1386l4 11550cg3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 462c3

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

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Quadratic twists for elliptic curve 462c3

-4	8	-3	5	-7	-11	13
3696u4	14784bd3	1386l4	11550cg3	3234n4	5082r4	78078bw4

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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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