Cremona's table of elliptic curves

2222 = 2 · 11 · 101

Field	Data	Notes
Atkin-Lehner	2- 11- 101+	Signs for the Atkin-Lehner involutions
Class	2222b	Isogeny class
Conductor	2222	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	336	Modular degree for the optimal curve
Δ	-1564288 = -1 · 27 · 112 · 101	Discriminant
Eigenvalues	2- -2  0 -1 11-  4 -1 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,2,-60]	[a1,a2,a3,a4,a6]
Generators	[8:18:1]	Generators of the group modulo torsion
j	857375/1564288	j-invariant
L	3.2680709162188	L(r)(E,1)/r!
Ω	1.2430748226297	Real period
R	0.18778727766278	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17776d1 71104d1 19998d1 55550e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2222b1

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	-1	-	4	-1	-7	-8	3	4	10	4	-5	-2	-3	-10	-5	-10	6	-14	-2	-6	-6	1

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Quadratic twists for elliptic curve 2222b1

-4	8	-3	5	-7	-11
17776d1	71104d1	19998d1	55550e1	108878q1	24442g1

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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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