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	4422d	Isogeny class
Conductor	4422	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	42240	Modular degree for the optimal curve
Δ	50327860543488 = 222 · 35 · 11 · 672	Discriminant
Eigenvalues	2+ 3-  4  2 11+  4  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-249299,47888174]	[a1,a2,a3,a4,a6]
j	1713494904330643029289/50327860543488	j-invariant
L	2.9487657280402	L(r)(E,1)/r!
Ω	0.58975314560803	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35376u1 13266r1 110550bk1 48642z1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4422d1

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

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Quadratic twists for elliptic curve 4422d1

-4	-3	5	-11
35376u1	13266r1	110550bk1	48642z1

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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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