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	6600n	Isogeny class
Conductor	6600	Conductor
∏ cp	104	Product of Tamagawa factors cp
deg	12480	Modular degree for the optimal curve
Δ	-1234643731200 = -1 · 28 · 313 · 52 · 112	Discriminant
Eigenvalues	2+ 3- 5+ -1 11-  1  2 -5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-31713,2163843]	[a1,a2,a3,a4,a6]
Generators	[-33:1782:1]	Generators of the group modulo torsion
j	-551149496796160/192913083	j-invariant
L	4.8016364805912	L(r)(E,1)/r!
Ω	0.8464098417	Real period
R	0.054547548090197	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13200c1 52800i1 19800z1 6600y1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600n1

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
+	-	+	-1	-	1	2	-5	-6	-2	3	-10	-6	3	4	-10	4	5	5	0	-14	4	-6	-14	15

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Quadratic twists for elliptic curve 6600n1

-4	8	-3	5	-11
13200c1	52800i1	19800z1	6600y1	72600dr1

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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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