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	1482d	Isogeny class
Conductor	1482	Conductor
∏ cp	224	Product of Tamagawa factors cp
Δ	-1.4879556241816E+19	Discriminant
Eigenvalues	2+ 3- -2  0  0 13- -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,531693,-110298194]	[a1,a2,a3,a4,a6]
Generators	[743:25992:1]	Generators of the group modulo torsion
j	16622935289828142386903/14879556241816413888	j-invariant
L	2.2268951683625	L(r)(E,1)/r!
Ω	0.12177486912886	Real period
R	0.32655329817887	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	11856y4 47424m3 4446t4 37050bj3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482d4

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	0	-	-6	+	4	-6	0	-2	-2	12	-12	2	-4	-2	-4	-8	-6	-8	-16	14	-6

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Quadratic twists for elliptic curve 1482d4

-4	8	-3	5	-7	13	-19
11856y4	47424m3	4446t4	37050bj3	72618k3	19266ba4	28158m3

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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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