Cremona's table of elliptic curves

16302 = 2 · 3 · 11 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 13+ 19-	Signs for the Atkin-Lehner involutions
Class	16302w	Isogeny class
Conductor	16302	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	-2493610843714848 = -1 · 25 · 34 · 112 · 132 · 196	Discriminant
Eigenvalues	2- 3- -2  2 11- 13+ -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,14696,2303840]	[a1,a2,a3,a4,a6]
Generators	[-82:782:1]	Generators of the group modulo torsion
j	351009842940054143/2493610843714848	j-invariant
L	8.4316675307912	L(r)(E,1)/r!
Ω	0.33293825329734	Real period
R	0.21104182350346	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	48906k2	Quadratic twists by: -3

Hecke Eigenvalues for elliptic curve 16302w2

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

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Quadratic twists for elliptic curve 16302w2

-3
48906k2

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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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