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
deg	9	Modular degree for the optimal curve
Δ	-4544 = -1 · 26 · 71	Discriminant
Eigenvalues	2+  0  2  0  6  4  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1,-3]	[a1,a2,a3,a4,a6]
j	-185193/4544	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	1136b1 4544e1 1278h1 3550l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 142c1

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 142c1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-71
1136b1	4544e1	1278h1	3550l1	6958e1	17182g1	23998g1	41038a1	51262f1	75118g1	119422h1	10082a1

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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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