Cremona's table of elliptic curves

5985 = 3² · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	3- 5+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	5985n	Isogeny class
Conductor	5985	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	2.9950725621893E+21	Discriminant
Eigenvalues	1 3- 5+ 7- -4  6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-698349645,7103430458950]	[a1,a2,a3,a4,a6]
j	51667200931417724201028999121/4108467163497046875	j-invariant
L	1.7391558939705	L(r)(E,1)/r!
Ω	0.10869724337315	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	95760dd6 1995d5 29925x6 41895bk6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5985n5

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

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Quadratic twists for elliptic curve 5985n5

-4	-3	5	-7	-19
95760dd6	1995d5	29925x6	41895bk6	113715x6

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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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