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	462f	Isogeny class
Conductor	462	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-723148272 = -1 · 24 · 32 · 73 · 114	Discriminant
Eigenvalues	2- 3-  2 7+ 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-97,1337]	[a1,a2,a3,a4,a6]
j	-100999381393/723148272	j-invariant
L	2.7578594140277	L(r)(E,1)/r!
Ω	1.3789297070139	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3696q1 14784d1 1386b1 11550i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 462f1

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	-2	0	0	-2	4	-2	-10	4	4	-2	-12	-2	12	8	6	-8	-8	-14	-14

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Quadratic twists for elliptic curve 462f1

-4	8	-3	5	-7	-11	13
3696q1	14784d1	1386b1	11550i1	3234r1	5082n1	78078bn1

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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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