Cremona's table of elliptic curves

801 = 3² · 89

Field	Data	Notes
Atkin-Lehner	3- 89+	Signs for the Atkin-Lehner involutions
Class	801b	Isogeny class
Conductor	801	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	60	Modular degree for the optimal curve
Δ	64881 = 36 · 89	Discriminant
Eigenvalues	-1 3-  2  2  4  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-14,-12]	[a1,a2,a3,a4,a6]
j	389017/89	j-invariant
L	1.2614491019657	L(r)(E,1)/r!
Ω	2.5228982039314	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	12816h1 51264l1 89b2 20025i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 801b1

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	4	2	-6	-2	-2	6	6	10	6	2	-12	6	10	-6	12	-4	10	-12	6	+	-18

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Quadratic twists for elliptic curve 801b1

-4	8	-3	5	-7	-11	89
12816h1	51264l1	89b2	20025i1	39249o1	96921r1	71289e1

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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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