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	980d	Isogeny class
Conductor	980	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-51652616960 = -1 · 28 · 5 · 79	Discriminant
Eigenvalues	2- -1 5+ 7-  3  1  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-39461,3030385]	[a1,a2,a3,a4,a6]
Generators	[96:343:1]	Generators of the group modulo torsion
j	-225637236736/1715	j-invariant
L	2.0479221272237	L(r)(E,1)/r!
Ω	1.0078659084345	Real period
R	0.50798477011809	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3920u2 15680bo2 8820bb2 4900f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 980d2

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 980d2

-4	8	-3	5	-7	-11
3920u2	15680bo2	8820bb2	4900f2	140a2	118580h2

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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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