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	6600j	Isogeny class
Conductor	6600	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-47351393100000000 = -1 · 28 · 316 · 58 · 11	Discriminant
Eigenvalues	2+ 3- 5+  2 11+  4  4  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-271908,-55659312]	[a1,a2,a3,a4,a6]
j	-555816294307024/11837848275	j-invariant
L	3.3409214297372	L(r)(E,1)/r!
Ω	0.10440379467929	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	13200j2 52800bd2 19800bl2 1320e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600j2

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	+	4	4	8	-4	2	8	2	-2	6	-12	-6	-12	10	-16	0	-4	12	6	6	-14

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Quadratic twists for elliptic curve 6600j2

-4	8	-3	5	-11
13200j2	52800bd2	19800bl2	1320e2	72600dw2

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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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