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	19580625 = 32 · 54 · 592	Discriminant
Eigenvalues	1 3+ 5-  0 -4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-97,-344]	[a1,a2,a3,a4,a6]
Generators	[12:14:1]	Generators of the group modulo torsion
j	102568953241/19580625	j-invariant
L	2.5812771704964	L(r)(E,1)/r!
Ω	1.5393627998914	Real period
R	1.6768478299453	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	14160ba2 56640t2 2655e2 4425j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 885b2

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 885b2

-4	8	-3	5	-7	-11	-59
14160ba2	56640t2	2655e2	4425j2	43365k2	107085h2	52215e2

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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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