Cremona's table of elliptic curves

140 = 2² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	140a	Isogeny class
Conductor	140	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-439040 = -1 · 28 · 5 · 73	Discriminant
Eigenvalues	2-  1 5- 7-  3 -1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-805,-9065]	[a1,a2,a3,a4,a6]
j	-225637236736/1715	j-invariant
L	1.3443015422305	L(r)(E,1)/r!
Ω	0.44810051407684	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	560f2 2240c2 1260g2 700a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 140a2

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	-	-	3	-1	-3	2	-6	-9	8	-10	0	2	-3	0	12	8	8	0	14	5	-12	12	17

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Quadratic twists for elliptic curve 140a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
560f2	2240c2	1260g2	700a2	980d2	16940d2	23660b2	40460b2	50540o2	74060c2	117740j2

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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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