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	5985h	Isogeny class
Conductor	5985	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-49769020375875045 = -1 · 314 · 5 · 78 · 192	Discriminant
Eigenvalues	1 3- 5+ 7+ -4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,50175,-9835610]	[a1,a2,a3,a4,a6]
j	19162556947522799/68270261146605	j-invariant
L	0.72597383430776	L(r)(E,1)/r!
Ω	0.18149345857694	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	95760dz5 1995c6 29925bd5 41895bu5	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5985h6

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

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Quadratic twists for elliptic curve 5985h6

-4	-3	5	-7	-19
95760dz5	1995c6	29925bd5	41895bu5	113715n5

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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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