Cremona's table of elliptic curves

885 = 3 · 5 · 59

Field	Data	Notes
Atkin-Lehner	3+ 5- 59-	Signs for the Atkin-Lehner involutions
Class	885b	Isogeny class
Conductor	885	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1866796875 = -1 · 34 · 58 · 59	Discriminant
Eigenvalues	1 3+ 5-  0 -4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,198,-1701]	[a1,a2,a3,a4,a6]
Generators	[18:81:1]	Generators of the group modulo torsion
j	851701809239/1866796875	j-invariant
L	2.5812771704964	L(r)(E,1)/r!
Ω	0.7696813999457	Real period
R	0.83842391497264	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	14160ba4 56640t3 2655e4 4425j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 885b4

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	+	-	0	-4	6	-6	-4	-8	6	-4	-10	-6	0	-8	6	-	6	0	-8	10	0	12	-18	2

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Quadratic twists for elliptic curve 885b4

-4	8	-3	5	-7	-11	-59
14160ba4	56640t3	2655e4	4425j4	43365k3	107085h3	52215e3

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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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