Cremona's table of elliptic curves

6600 = 2³ · 3 · 5² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11+	Signs for the Atkin-Lehner involutions
Class	6600v	Isogeny class
Conductor	6600	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	702768000000 = 210 · 3 · 56 · 114	Discriminant
Eigenvalues	2- 3+ 5+ -4 11+ -6 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2608,-30788]	[a1,a2,a3,a4,a6]
Generators	[-34:132:1] [-18:100:1]	Generators of the group modulo torsion
j	122657188/43923	j-invariant
L	4.2724028691243	L(r)(E,1)/r!
Ω	0.68789137927732	Real period
R	3.1054342283034	Regulator
r	2	Rank of the group of rational points
S	0.99999999999978	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13200bb4 52800di3 19800n4 264c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600v3

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

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Quadratic twists for elliptic curve 6600v3

-4	8	-3	5	-11
13200bb4	52800di3	19800n4	264c3	72600n3

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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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