Cremona's table of elliptic curves

2166 = 2 · 3 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 19-	Signs for the Atkin-Lehner involutions
Class	2166b	Isogeny class
Conductor	2166	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-39839668543190898 = -1 · 2 · 32 · 1912	Discriminant
Eigenvalues	2+ 3+  0 -4  0  4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-150905,24459183]	[a1,a2,a3,a4,a6]
j	-8078253774625/846825858	j-invariant
L	0.70796486198683	L(r)(E,1)/r!
Ω	0.35398243099341	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17328be4 69312bo4 6498v4 54150cr4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2166b4

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	-4	0	4	6	-	-6	-6	-2	4	-6	-4	6	-6	12	14	-8	0	14	10	-12	6	10

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Quadratic twists for elliptic curve 2166b4

-4	8	-3	5	-7	-19
17328be4	69312bo4	6498v4	54150cr4	106134bc4	114a4

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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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