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	1482l	Isogeny class
Conductor	1482	Conductor
∏ cp	54	Product of Tamagawa factors cp
Δ	-8507338464245556 = -1 · 22 · 3 · 133 · 199	Discriminant
Eigenvalues	2- 3- -3 -1 -6 13-  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-11865912,-15733564044]	[a1,a2,a3,a4,a6]
Generators	[14024:1597994:1]	Generators of the group modulo torsion
j	-184768138755655701309378433/8507338464245556	j-invariant
L	3.8121536558447	L(r)(E,1)/r!
Ω	0.040671882744801	Real period
R	1.7357307630471	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	11856w3 47424i3 4446j3 37050g3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482l3

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	-1	-6	-	0	-	-3	-6	-4	-7	-12	8	-6	9	-3	-1	-4	9	2	-1	12	0	17

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Quadratic twists for elliptic curve 1482l3

-4	8	-3	5	-7	13	-19
11856w3	47424i3	4446j3	37050g3	72618bl3	19266h3	28158c3

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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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