Cremona's table of elliptic curves

4565 = 5 · 11 · 83

Field	Data	Notes
Atkin-Lehner	5- 11+ 83-	Signs for the Atkin-Lehner involutions
Class	4565b	Isogeny class
Conductor	4565	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	1894475 = 52 · 11 · 832	Discriminant
Eigenvalues	-1  2 5- -4 11+ -2  8 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-50,-140]	[a1,a2,a3,a4,a6]
Generators	[8:3:1]	Generators of the group modulo torsion
j	13841287201/1894475	j-invariant
L	3.100631813383	L(r)(E,1)/r!
Ω	1.81148660516	Real period
R	1.7116504226699	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	73040s2 41085a2 22825b2 50215a2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4565b2

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
-1	2	-	-4	+	-2	8	-4	6	-2	4	-6	6	4	-12	-2	-8	14	-8	-2	6	-8	-	-14	10

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Quadratic twists for elliptic curve 4565b2

-4	-3	5	-11
73040s2	41085a2	22825b2	50215a2

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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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