Cremona's table of elliptic curves

1442 = 2 · 7 · 103

Field	Data	Notes
Atkin-Lehner	2+ 7+ 103-	Signs for the Atkin-Lehner involutions
Class	1442b	Isogeny class
Conductor	1442	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2640	Modular degree for the optimal curve
Δ	-21168652288 = -1 · 222 · 72 · 103	Discriminant
Eigenvalues	2+  2 -4 7+ -2  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-577,8565]	[a1,a2,a3,a4,a6]
j	-21302308926361/21168652288	j-invariant
L	1.1028815626768	L(r)(E,1)/r!
Ω	1.1028815626768	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	11536i1 46144c1 12978w1 36050t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1442b1

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

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Quadratic twists for elliptic curve 1442b1

-4	8	-3	5	-7
11536i1	46144c1	12978w1	36050t1	10094c1

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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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