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	6600w	Isogeny class
Conductor	6600	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	2869928820000000 = 28 · 34 · 57 · 116	Discriminant
Eigenvalues	2- 3+ 5+  2 11-  0  8 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-42908,2263812]	[a1,a2,a3,a4,a6]
Generators	[-64:2178:1]	Generators of the group modulo torsion
j	2184181167184/717482205	j-invariant
L	3.7796747040438	L(r)(E,1)/r!
Ω	0.41713988081373	Real period
R	0.37753869444133	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	13200s2 52800cc2 19800e2 1320d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600w2

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

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Quadratic twists for elliptic curve 6600w2

-4	8	-3	5	-11
13200s2	52800cc2	19800e2	1320d2	72600l2

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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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