Cremona's table of elliptic curves

4446 = 2 · 3² · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 13+ 19+	Signs for the Atkin-Lehner involutions
Class	4446o	Isogeny class
Conductor	4446	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	1200	Modular degree for the optimal curve
Δ	-109478304 = -1 · 25 · 36 · 13 · 192	Discriminant
Eigenvalues	2- 3- -1 -1  0 13+  3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,112,-237]	[a1,a2,a3,a4,a6]
Generators	[9:33:1]	Generators of the group modulo torsion
j	214921799/150176	j-invariant
L	5.0351821398979	L(r)(E,1)/r!
Ω	1.0602640621385	Real period
R	0.47489887846829	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	35568bs1 494a1 111150bk1 57798t1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4446o1

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	-1	0	+	3	+	-6	8	-8	-5	2	-1	-3	2	10	-14	-4	-3	16	4	-16	-8	-10

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Quadratic twists for elliptic curve 4446o1

-4	-3	5	13	-19
35568bs1	494a1	111150bk1	57798t1	84474z1

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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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