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
Δ	-60134736206281 = -1 · 112 · 896	Discriminant
Eigenvalues	1  2 -2 -2 11- -2 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-14041,-747030]	[a1,a2,a3,a4,a6]
Generators	[170790:1283247:1000]	Generators of the group modulo torsion
j	-306172484303077657/60134736206281	j-invariant
L	3.3551350703956	L(r)(E,1)/r!
Ω	0.21698849849687	Real period
R	5.1540904911818	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	15664e2 62656d2 8811c2 24475f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 979b2

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 979b2

-4	8	-3	5	-7	-11	89
15664e2	62656d2	8811c2	24475f2	47971i2	10769c2	87131b2

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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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