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	4446s	Isogeny class
Conductor	4446	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2128	Modular degree for the optimal curve
Δ	-6842394 = -1 · 2 · 36 · 13 · 192	Discriminant
Eigenvalues	2- 3-  3  3  0 13+ -5 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-551,5113]	[a1,a2,a3,a4,a6]
j	-25334470953/9386	j-invariant
L	4.6454910191449	L(r)(E,1)/r!
Ω	2.3227455095724	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	35568bp1 494c1 111150cb1 57798r1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 4446s1

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	3	0	+	-5	-	-6	8	8	-5	10	7	1	10	-6	-6	-4	5	8	12	8	0	-2

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Quadratic twists for elliptic curve 4446s1

-4	-3	5	13	-19
35568bp1	494c1	111150cb1	57798r1	84474bc1

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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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