Cremona's table of elliptic curves

1482 = 2 · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 19+	Signs for the Atkin-Lehner involutions
Class	1482j	Isogeny class
Conductor	1482	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	1265082624 = 28 · 34 · 132 · 192	Discriminant
Eigenvalues	2- 3- -2  0  4 13-  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1319,18249]	[a1,a2,a3,a4,a6]
j	253792437805297/1265082624	j-invariant
L	3.0787157282262	L(r)(E,1)/r!
Ω	1.5393578641131	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	11856z2 47424n2 4446h2 37050a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482j2

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
-	-	-2	0	4	-	2	+	0	6	8	6	-6	-4	-8	14	12	-2	12	8	-6	0	12	-6	-14

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Quadratic twists for elliptic curve 1482j2

-4	8	-3	5	-7	13	-19
11856z2	47424n2	4446h2	37050a2	72618bp2	19266j2	28158b2

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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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