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	4422m	Isogeny class
Conductor	4422	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-97284 = -1 · 22 · 3 · 112 · 67	Discriminant
Eigenvalues	2- 3+  3 -1 11- -6  0 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,11,-1]	[a1,a2,a3,a4,a6]
Generators	[7:18:1]	Generators of the group modulo torsion
j	146363183/97284	j-invariant
L	5.246346740874	L(r)(E,1)/r!
Ω	1.9190160661989	Real period
R	0.68346831916652	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	35376z1 13266e1 110550r1 48642i1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4422m1

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
-	+	3	-1	-	-6	0	-8	-7	2	7	-9	-3	-11	-4	3	-3	-6	+	12	-7	-8	9	12	8

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Quadratic twists for elliptic curve 4422m1

-4	-3	5	-11
35376z1	13266e1	110550r1	48642i1

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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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