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	5985q	Isogeny class
Conductor	5985	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	220889486767989375 = 318 · 54 · 7 · 194	Discriminant
Eigenvalues	1 3- 5- 7-  0  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-259344,45593725]	[a1,a2,a3,a4,a6]
j	2646218738827415809/303003411204375	j-invariant
L	2.4376722836564	L(r)(E,1)/r!
Ω	0.30470903545706	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	95760es4 1995a3 29925p4 41895bb4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5985q3

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

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Quadratic twists for elliptic curve 5985q3

-4	-3	5	-7	-19
95760es4	1995a3	29925p4	41895bb4	113715bk4

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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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