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	1482f	Isogeny class
Conductor	1482	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-38520144 = -1 · 24 · 33 · 13 · 193	Discriminant
Eigenvalues	2+ 3-  3 -1  0 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,8,-298]	[a1,a2,a3,a4,a6]
j	67419143/38520144	j-invariant
L	1.9153648957697	L(r)(E,1)/r!
Ω	0.95768244788484	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11856u1 47424j1 4446v1 37050bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1482f1

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	0	-	-6	-	9	6	2	11	-6	-4	12	3	3	5	-10	9	-4	-1	-6	6	-7

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Quadratic twists for elliptic curve 1482f1

-4	8	-3	5	-7	13	-19
11856u1	47424j1	4446v1	37050bm1	72618h1	19266y1	28158n1

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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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