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	6552m	Isogeny class
Conductor	6552	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	-306819035136432 = -1 · 24 · 39 · 78 · 132	Discriminant
Eigenvalues	2+ 3-  2 7-  4 13-  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,6486,818417]	[a1,a2,a3,a4,a6]
j	2587063175168/26304786963	j-invariant
L	3.2046925055121	L(r)(E,1)/r!
Ω	0.40058656318901	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	13104w1 52416cp1 2184j1 45864o1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6552m1

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

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Quadratic twists for elliptic curve 6552m1

-4	8	-3	-7	13
13104w1	52416cp1	2184j1	45864o1	85176bw1

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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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