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
Δ	52167084032 = 211 · 74 · 1032	Discriminant
Eigenvalues	2+  2 -4 7+ -2  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-10817,428405]	[a1,a2,a3,a4,a6]
j	139993197449114521/52167084032	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	11536i2 46144c2 12978w2 36050t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1442b2

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 1442b2

-4	8	-3	5	-7
11536i2	46144c2	12978w2	36050t2	10094c2

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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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