Cremona's table of elliptic curves

5565 = 3 · 5 · 7 · 53

Field	Data	Notes
Atkin-Lehner	3+ 5- 7- 53-	Signs for the Atkin-Lehner involutions
Class	5565d	Isogeny class
Conductor	5565	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	2314450673891015625 = 316 · 58 · 72 · 532	Discriminant
Eigenvalues	-1 3+ 5- 7- -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-819515,-276351928]	[a1,a2,a3,a4,a6]
j	60868761681499819533361/2314450673891015625	j-invariant
L	0.63618858554734	L(r)(E,1)/r!
Ω	0.15904714638683	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	89040cp6 16695j5 27825l6 38955k6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5565d5

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	+	-	-	-4	-2	2	-4	0	-2	-8	6	-6	12	0	-	-4	-2	-4	16	-6	8	12	-6	-14

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Quadratic twists for elliptic curve 5565d5

-4	-3	5	-7
89040cp6	16695j5	27825l6	38955k6

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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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