Cremona's table of elliptic curves

980 = 2² · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	980f	Isogeny class
Conductor	980	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	3024	Modular degree for the optimal curve
Δ	-9039207968000 = -1 · 28 · 53 · 710	Discriminant
Eigenvalues	2- -1 5- 7-  6 -2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-48820,-4138168]	[a1,a2,a3,a4,a6]
j	-177953104/125	j-invariant
L	1.4452520289857	L(r)(E,1)/r!
Ω	0.16058355877619	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	3920be1 15680n1 8820r1 4900h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 980f1

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	-	-	6	-2	6	-8	3	3	-2	8	3	5	0	12	0	1	-7	0	10	-4	-3	3	10

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Quadratic twists for elliptic curve 980f1

-4	8	-3	5	-7	-11
3920be1	15680n1	8820r1	4900h1	980a1	118580y1

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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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