Cremona's table of elliptic curves

882 = 2 · 3² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+	Signs for the Atkin-Lehner involutions
Class	882h	Isogeny class
Conductor	882	Conductor
∏ cp	180	Product of Tamagawa factors cp
Δ	-172064342016 = -1 · 215 · 37 · 74	Discriminant
Eigenvalues	2- 3- -3 7+ -3 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-6404,199847]	[a1,a2,a3,a4,a6]
Generators	[-75:541:1]	Generators of the group modulo torsion
j	-16591834777/98304	j-invariant
L	2.8863902280956	L(r)(E,1)/r!
Ω	1.0223787451789	Real period
R	0.14116051618378	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	7056bn2 28224be2 294d2 22050y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 882h2

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
-	-	-3	+	-3	-4	0	-4	0	-9	-1	8	0	-10	6	3	-3	-10	-10	6	2	-1	9	-6	-1

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Quadratic twists for elliptic curve 882h2

-4	8	-3	5	-7	-11
7056bn2	28224be2	294d2	22050y2	882j2	106722bw2

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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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