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	4422g	Isogeny class
Conductor	4422	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	1280	Modular degree for the optimal curve
Δ	7880004 = 22 · 35 · 112 · 67	Discriminant
Eigenvalues	2+ 3- -2  0 11- -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-347,2450]	[a1,a2,a3,a4,a6]
Generators	[0:49:1]	Generators of the group modulo torsion
j	4601630708137/7880004	j-invariant
L	2.9035079049946	L(r)(E,1)/r!
Ω	2.3383507071803	Real period
R	0.24833810395325	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	35376p1 13266n1 110550bm1 48642y1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4422g1

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	0	0	-2	10	-2	-2	2	-6	10	-10	4	6	+	-2	-14	-8	-2	2	2

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Quadratic twists for elliptic curve 4422g1

-4	-3	5	-11
35376p1	13266n1	110550bm1	48642y1

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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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