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	222a	Isogeny class
Conductor	222	Conductor
∏ cp	3	Product of Tamagawa factors cp
Δ	-303918 = -1 · 2 · 3 · 373	Discriminant
Eigenvalues	2- 3-  0 -1  3 -1 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-148,-706]	[a1,a2,a3,a4,a6]
j	-358667682625/303918	j-invariant
L	2.0529956743308	L(r)(E,1)/r!
Ω	0.68433189144361	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	1776g2 7104a2 666c2 5550a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 222a2

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

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Quadratic twists for elliptic curve 222a2

-4	8	-3	5	-7	-11	13	17	-19	-23	37
1776g2	7104a2	666c2	5550a2	10878bh2	26862h2	37518f2	64158z2	80142d2	117438q2	8214d2

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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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