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	6552t	Isogeny class
Conductor	6552	Conductor
∏ cp	64	Product of Tamagawa factors cp
deg	30720	Modular degree for the optimal curve
Δ	-2761371316227888 = -1 · 24 · 311 · 78 · 132	Discriminant
Eigenvalues	2- 3-  0 7-  2 13+  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-92910,-11189747]	[a1,a2,a3,a4,a6]
j	-7604375980288000/236743082667	j-invariant
L	2.1836257963523	L(r)(E,1)/r!
Ω	0.13647661227202	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13104k1 52416cs1 2184f1 45864bn1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6552t1

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

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Quadratic twists for elliptic curve 6552t1

-4	8	-3	-7	13
13104k1	52416cs1	2184f1	45864bn1	85176m1

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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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