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	1482i	Isogeny class
Conductor	1482	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	672	Modular degree for the optimal curve
Δ	-34572096 = -1 · 26 · 37 · 13 · 19	Discriminant
Eigenvalues	2- 3- -3 -3  2 13+ -4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-202,1124]	[a1,a2,a3,a4,a6]
Generators	[2:26:1]	Generators of the group modulo torsion
j	-911826451873/34572096	j-invariant
L	3.7765220183707	L(r)(E,1)/r!
Ω	2.0527396294342	Real period
R	0.043803505142232	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	11856r1 47424z1 4446d1 37050k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482i1

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	2	+	-4	+	-5	-10	-4	3	8	-8	-2	-9	9	3	-4	-15	2	11	4	0	7

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Quadratic twists for elliptic curve 1482i1

-4	8	-3	5	-7	13	-19
11856r1	47424z1	4446d1	37050k1	72618bw1	19266l1	28158e1

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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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