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	882j	Isogeny class
Conductor	882	Conductor
∏ cp	30	Product of Tamagawa factors cp
Δ	-20243197773840384 = -1 · 215 · 37 · 710	Discriminant
Eigenvalues	2- 3-  3 7- -3  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-313781,-67920051]	[a1,a2,a3,a4,a6]
j	-16591834777/98304	j-invariant
L	3.0246870671163	L(r)(E,1)/r!
Ω	0.10082290223721	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	7056bz2 28224co2 294e2 22050bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 882j2

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 882j2

-4	8	-3	5	-7	-11
7056bz2	28224co2	294e2	22050bo2	882h2	106722do2

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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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