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	1980f	Isogeny class
Conductor	1980	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-2183172750000 = -1 · 24 · 38 · 56 · 113	Discriminant
Eigenvalues	2- 3- 5- -4 11- -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2868,39481]	[a1,a2,a3,a4,a6]
Generators	[-10:99:1]	Generators of the group modulo torsion
j	223673040896/187171875	j-invariant
L	2.9277347498235	L(r)(E,1)/r!
Ω	0.53279828454085	Real period
R	0.91583589098407	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	7920bh3 31680r3 660c3 9900u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1980f3

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

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Quadratic twists for elliptic curve 1980f3

-4	8	-3	5	-7	-11
7920bh3	31680r3	660c3	9900u3	97020by3	21780bd3

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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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