Cremona's table of elliptic curves

1980 = 2² · 3² · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11+	Signs for the Atkin-Lehner involutions
Class	1980d	Isogeny class
Conductor	1980	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	223165665043200 = 28 · 39 · 52 · 116	Discriminant
Eigenvalues	2- 3- 5-  2 11+  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-28407,1696894]	[a1,a2,a3,a4,a6]
j	13584145739344/1195803675	j-invariant
L	2.1820190503997	L(r)(E,1)/r!
Ω	0.54550476259992	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	7920bl2 31680x2 660d2 9900l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1980d2

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	0	0	8	2	0	2	0	-6	12	2	-4	0	2	-10	12	6	14

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Quadratic twists for elliptic curve 1980d2

-4	8	-3	5	-7	-11
7920bl2	31680x2	660d2	9900l2	97020bk2	21780x2

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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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