Cremona's table of elliptic curves

20 = 2² · 5

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	20a	Isogeny class
Conductor	20	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	2000 = 24 · 53	Discriminant
Eigenvalues	2- -2 5+  2  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-41,-116]	[a1,a2,a3,a4,a6]
j	488095744/125	j-invariant
L	0.47072919032652	L(r)(E,1)/r!
Ω	1.8829167613061	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	80b4 320c3 180a3 100a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20a4

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	+	2	0	2	-6	-4	6	6	-4	2	6	-10	-6	-6	12	2	2	-12	2	8	6	-6	2

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Quadratic twists for elliptic curve 20a4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73	-79
80b4	320c3	180a3	100a3	980g3	2420e3	3380i3	5780e3	7220c3	10580m3	16820b3	19220b3	27380d3	33620a3	36980a3	44180g3	56180d3	69620b3	74420d3	89780f3	100820a3	106580d3	124820b3

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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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