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	4422i	Isogeny class
Conductor	4422	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	55296	Modular degree for the optimal curve
Δ	-865757642686464 = -1 · 216 · 3 · 114 · 673	Discriminant
Eigenvalues	2- 3+ -1  5 11+  0  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-384021,-91767813]	[a1,a2,a3,a4,a6]
j	-6263090762679682219729/865757642686464	j-invariant
L	3.0685074794866	L(r)(E,1)/r!
Ω	0.095890858733955	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	35376bd1 13266h1 110550o1 48642d1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4422i1

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	5	+	0	2	-2	7	0	3	-3	9	1	0	11	9	-2	+	-12	-9	-16	-17	4	4

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Quadratic twists for elliptic curve 4422i1

-4	-3	5	-11
35376bd1	13266h1	110550o1	48642d1

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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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