Cremona's table of elliptic curves

222 = 2 · 3 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3+ 37-	Signs for the Atkin-Lehner involutions
Class	222c	Isogeny class
Conductor	222	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	202409388 = 22 · 33 · 374	Discriminant
Eigenvalues	2+ 3+  2  0 -4  6  6  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-604,5428]	[a1,a2,a3,a4,a6]
j	24431916147913/202409388	j-invariant
L	0.89650114973835	L(r)(E,1)/r!
Ω	1.7930022994767	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1776j3 7104g4 666f3 5550bf4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 222c4

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

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Quadratic twists for elliptic curve 222c4

-4	8	-3	5	-7	-11	13	17	-19	-23	37
1776j3	7104g4	666f3	5550bf4	10878s3	26862m3	37518k3	64158p3	80142v3	117438b3	8214g4

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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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