Cremona's table of elliptic curves

1443 = 3 · 13 · 37

Field	Data	Notes
Atkin-Lehner	3+ 13+ 37-	Signs for the Atkin-Lehner involutions
Class	1443a	Isogeny class
Conductor	1443	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	600	Modular degree for the optimal curve
Δ	-3338295363 = -1 · 35 · 135 · 37	Discriminant
Eigenvalues	0 3+  0  4  3 13+  1 -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-333,3746]	[a1,a2,a3,a4,a6]
j	-4096000000000/3338295363	j-invariant
L	1.2949161810802	L(r)(E,1)/r!
Ω	1.2949161810802	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	23088o1 92352bc1 4329b1 36075p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1443a1

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
0	+	0	4	3	+	1	-3	-4	-1	1	-	6	8	8	12	12	-2	6	-5	-4	10	-11	6	-7

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Quadratic twists for elliptic curve 1443a1

-4	8	-3	5	-7	13	37
23088o1	92352bc1	4329b1	36075p1	70707m1	18759a1	53391d1

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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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