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	6552h	Isogeny class
Conductor	6552	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	167832634604544 = 210 · 37 · 78 · 13	Discriminant
Eigenvalues	2+ 3- -2 7+  0 13-  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14691,-285010]	[a1,a2,a3,a4,a6]
Generators	[-74:630:1]	Generators of the group modulo torsion
j	469732169092/224827239	j-invariant
L	3.462409120327	L(r)(E,1)/r!
Ω	0.45469267426883	Real period
R	3.8074168732702	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	13104ba4 52416bp3 2184h4 45864l3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6552h3

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

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Quadratic twists for elliptic curve 6552h3

-4	8	-3	-7	13
13104ba4	52416bp3	2184h4	45864l3	85176cc3

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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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