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	4422f	Isogeny class
Conductor	4422	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-12871986534 = -1 · 2 · 38 · 114 · 67	Discriminant
Eigenvalues	2+ 3-  2  0 11-  2 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,510,-3134]	[a1,a2,a3,a4,a6]
Generators	[14:75:1]	Generators of the group modulo torsion
j	14711527911527/12871986534	j-invariant
L	3.7030027226712	L(r)(E,1)/r!
Ω	0.69457476846426	Real period
R	0.66641542617124	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35376o3 13266o4 110550bn3 48642x3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4422f4

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	-	2	-6	-8	0	-6	4	-10	-10	-12	0	10	-4	2	+	-8	2	-16	0	10	2

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Quadratic twists for elliptic curve 4422f4

-4	-3	5	-11
35376o3	13266o4	110550bn3	48642x3

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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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