Cremona's table of elliptic curves

6536 = 2³ · 19 · 43

Field	Data	Notes
Atkin-Lehner	2- 19+ 43+	Signs for the Atkin-Lehner involutions
Class	6536c	Isogeny class
Conductor	6536	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5280	Modular degree for the optimal curve
Δ	-109027591168 = -1 · 210 · 195 · 43	Discriminant
Eigenvalues	2- -2 -2 -1  0  2  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3824,-93680]	[a1,a2,a3,a4,a6]
j	-6040751523268/106472257	j-invariant
L	0.60646588545641	L(r)(E,1)/r!
Ω	0.3032329427282	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13072c1 52288h1 58824b1 124184d1	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 6536c1

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	-1	0	2	3	+	4	-3	0	1	-6	+	-8	-8	9	0	9	-6	12	-3	-14	-5	-16

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Quadratic twists for elliptic curve 6536c1

-4	8	-3	-19
13072c1	52288h1	58824b1	124184d1

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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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