Cremona's table of elliptic curves

6552 = 2³ · 3² · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 13+	Signs for the Atkin-Lehner involutions
Class	6552ba	Isogeny class
Conductor	6552	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-227178701568 = -1 · 28 · 37 · 74 · 132	Discriminant
Eigenvalues	2- 3- -4 7- -6 13+ -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1767,36650]	[a1,a2,a3,a4,a6]
Generators	[-43:182:1] [-29:252:1]	Generators of the group modulo torsion
j	-3269383504/1217307	j-invariant
L	4.4284349351401	L(r)(E,1)/r!
Ω	0.93469433020552	Real period
R	0.14805759193243	Regulator
r	2	Rank of the group of rational points
S	0.99999999999999	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13104t2 52416dn2 2184e2 45864cd2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6552ba2

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
-	-	-4	-	-6	+	-6	-8	-8	-2	-4	-2	4	-4	10	-6	-6	2	-12	6	-10	-8	14	0	6

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Quadratic twists for elliptic curve 6552ba2

-4	8	-3	-7	13
13104t2	52416dn2	2184e2	45864cd2	85176x2

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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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