Cremona's table of elliptic curves

285 = 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	3+ 5- 19+	Signs for the Atkin-Lehner involutions
Class	285c	Isogeny class
Conductor	285	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	41748046875 = 32 · 512 · 19	Discriminant
Eigenvalues	1 3+ 5-  4  4  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1237,13054]	[a1,a2,a3,a4,a6]
j	209595169258201/41748046875	j-invariant
L	1.6268486353037	L(r)(E,1)/r!
Ω	1.0845657568691	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	4560bd3 18240bj4 855a3 1425h4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 285c4

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	4	2	2	+	-4	-2	0	-6	-6	8	-12	-14	4	14	-4	0	-14	16	0	-6	-10

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Quadratic twists for elliptic curve 285c4

-4	8	-3	5	-7	-11	13	17	-19
4560bd3	18240bj4	855a3	1425h4	13965r3	34485i3	48165e3	82365i3	5415l3

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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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