Cremona's table of elliptic curves

4422 = 2 · 3 · 11 · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 67-	Signs for the Atkin-Lehner involutions
Class	4422n	Isogeny class
Conductor	4422	Conductor
∏ cp	140	Product of Tamagawa factors cp
deg	4480	Modular degree for the optimal curve
Δ	-32276496384 = -1 · 214 · 35 · 112 · 67	Discriminant
Eigenvalues	2- 3- -1 -3 11-  2 -8  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-706,11204]	[a1,a2,a3,a4,a6]
Generators	[68:-562:1]	Generators of the group modulo torsion
j	-38920307374369/32276496384	j-invariant
L	5.6587207699702	L(r)(E,1)/r!
Ω	1.0712150726746	Real period
R	0.037732323883661	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	35376m1 13266f1 110550i1 48642m1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4422n1

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
-	-	-1	-3	-	2	-8	0	3	-6	1	-1	5	-9	-4	-9	7	-6	-	12	-11	-16	15	-12	8

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Quadratic twists for elliptic curve 4422n1

-4	-3	5	-11
35376m1	13266f1	110550i1	48642m1

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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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