Cremona's table of elliptic curves

142 = 2 · 71

Field	Data	Notes
Atkin-Lehner	2- 71+	Signs for the Atkin-Lehner involutions
Class	142d	Isogeny class
Conductor	142	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	715822 = 2 · 713	Discriminant
Eigenvalues	2-  1  0 -1  0 -1  0 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-58,-170]	[a1,a2,a3,a4,a6]
j	21601086625/715822	j-invariant
L	1.7333480498838	L(r)(E,1)/r!
Ω	1.7333480498838	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1136f2 4544c2 1278e2 3550b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 142d2

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	-1	0	-1	0	-1	3	0	5	-4	0	-1	9	6	6	2	8	+	-1	8	12	-3	-16

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Quadratic twists for elliptic curve 142d2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-71
1136f2	4544c2	1278e2	3550b2	6958m2	17182a2	23998d2	41038m2	51262c2	75118j2	119422a2	10082j2

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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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