Cremona's table of elliptic curves

142 = 2 · 71

Field	Data	Notes
Atkin-Lehner	2+ 71-	Signs for the Atkin-Lehner involutions
Class	142c	Isogeny class
Conductor	142	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	40328 = 23 · 712	Discriminant
Eigenvalues	2+  0  2  0  6  4  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-41,-91]	[a1,a2,a3,a4,a6]
j	7727161833/40328	j-invariant
L	0.94257224491491	L(r)(E,1)/r!
Ω	1.8851444898298	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	1136b2 4544e2 1278h2 3550l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 142c2

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

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Quadratic twists for elliptic curve 142c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-71
1136b2	4544e2	1278h2	3550l2	6958e2	17182g2	23998g2	41038a2	51262f2	75118g2	119422h2	10082a2

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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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