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	486	Product of Tamagawa factors cp
Δ	-125688259352575296 = -1 · 26 · 33 · 139 · 193	Discriminant
Eigenvalues	2- 3- -3 -1 -6 13-  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-133932,-25444656]	[a1,a2,a3,a4,a6]
Generators	[504:5676:1]	Generators of the group modulo torsion
j	-265691081942695311553/125688259352575296	j-invariant
L	3.8121536558447	L(r)(E,1)/r!
Ω	0.1220156482344	Real period
R	0.57857692101571	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11856w2 47424i2 4446j2 37050g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482l2

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 1482l2

-4	8	-3	5	-7	13	-19
11856w2	47424i2	4446j2	37050g2	72618bl2	19266h2	28158c2

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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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