Cremona's table of elliptic curves

979 = 11 · 89

Field	Data	Notes
Atkin-Lehner	11- 89-	Signs for the Atkin-Lehner involutions
Class	979b	Isogeny class
Conductor	979	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	1104	Modular degree for the optimal curve
Δ	10321451129 = 114 · 893	Discriminant
Eigenvalues	1  2 -2 -2 11- -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-14646,-688345]	[a1,a2,a3,a4,a6]
Generators	[1514:57983:1]	Generators of the group modulo torsion
j	347477855987736937/10321451129	j-invariant
L	3.3551350703956	L(r)(E,1)/r!
Ω	0.43397699699374	Real period
R	2.5770452455909	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15664e1 62656d1 8811c1 24475f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 979b1

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	2	-2	-2	-	-2	-2	-6	2	6	-2	-6	-2	6	-4	-6	14	6	-4	-12	10	-4	6	-	14

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Quadratic twists for elliptic curve 979b1

-4	8	-3	5	-7	-11	89
15664e1	62656d1	8811c1	24475f1	47971i1	10769c1	87131b1

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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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