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	6552j	Isogeny class
Conductor	6552	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	7253390802339182592 = 211 · 39 · 712 · 13	Discriminant
Eigenvalues	2+ 3- -2 7- -4 13+ -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-487731,19955374]	[a1,a2,a3,a4,a6]
Generators	[1046:25578:1]	Generators of the group modulo torsion
j	8594236719188066/4858291807551	j-invariant
L	3.4607560709352	L(r)(E,1)/r!
Ω	0.20277974368906	Real period
R	2.8444294681309	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	13104n3 52416da4 2184l3 45864t4	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6552j3

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	-	-4	+	-6	4	8	6	8	2	-2	-4	12	6	-12	-6	0	-16	-2	0	4	-2	-10

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Quadratic twists for elliptic curve 6552j3

-4	8	-3	-7	13
13104n3	52416da4	2184l3	45864t4	85176bu4

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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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