Cremona's table of elliptic curves

1596 = 2² · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 7+ 19+	Signs for the Atkin-Lehner involutions
Class	1596a	Isogeny class
Conductor	1596	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	3094160041728 = 28 · 314 · 7 · 192	Discriminant
Eigenvalues	2- 3+  0 7+  2  2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12748,-543272]	[a1,a2,a3,a4,a6]
j	895043160898000/12086562663	j-invariant
L	1.3490013482077	L(r)(E,1)/r!
Ω	0.44966711606923	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	6384bf2 25536bh2 4788a2 39900r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1596a2

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

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Quadratic twists for elliptic curve 1596a2

-4	8	-3	5	-7	-19
6384bf2	25536bh2	4788a2	39900r2	11172s2	30324g2

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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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