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	6552p	Isogeny class
Conductor	6552	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	18255431376 = 24 · 39 · 73 · 132	Discriminant
Eigenvalues	2- 3+  2 7- -2 13+ -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-521694,145034685]	[a1,a2,a3,a4,a6]
Generators	[390:945:1]	Generators of the group modulo torsion
j	49860882714802176/57967	j-invariant
L	4.6270357744893	L(r)(E,1)/r!
Ω	0.77694186396836	Real period
R	0.99257443168613	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	13104c1 52416bf1 6552c1 45864bb1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6552p1

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

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Quadratic twists for elliptic curve 6552p1

-4	8	-3	-7	13
13104c1	52416bf1	6552c1	45864bb1	85176c1

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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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