Cremona's table of elliptic curves

16884 = 2² · 3² · 7 · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 67-	Signs for the Atkin-Lehner involutions
Class	16884j	Isogeny class
Conductor	16884	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-73670092272 = -1 · 24 · 37 · 7 · 673	Discriminant
Eigenvalues	2- 3-  0 7-  3 -1 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-18885,998989]	[a1,a2,a3,a4,a6]
Generators	[68:171:1]	Generators of the group modulo torsion
j	-63859743328000/6316023	j-invariant
L	5.2977848672354	L(r)(E,1)/r!
Ω	1.0454427294858	Real period
R	2.5337518344218	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	67536bh2 5628e2 118188bd2	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 16884j2

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
-	-	0	-	3	-1	-6	2	6	6	-7	-7	0	-10	3	6	-3	5	-	6	14	-4	-12	-9	-1

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Quadratic twists for elliptic curve 16884j2

-4	-3	-7
67536bh2	5628e2	118188bd2

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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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