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	8	Product of Tamagawa factors cp
Δ	4278582 = 2 · 34 · 74 · 11	Discriminant
Eigenvalues	2+ 3+ -2 7- 11-  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-126,486]	[a1,a2,a3,a4,a6]
Generators	[-9:36:1]	Generators of the group modulo torsion
j	223980311017/4278582	j-invariant
L	1.2390297776895	L(r)(E,1)/r!
Ω	2.4613024380517	Real period
R	0.2517020579296	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	3696u3 14784bd4 1386l3 11550cg4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 462c4

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 462c4

-4	8	-3	5	-7	-11	13
3696u3	14784bd4	1386l3	11550cg4	3234n3	5082r3	78078bw3

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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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