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	6600a	Isogeny class
Conductor	6600	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	24502500000000 = 28 · 34 · 510 · 112	Discriminant
Eigenvalues	2+ 3+ 5+  0 11+  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-8508,-182988]	[a1,a2,a3,a4,a6]
Generators	[-67:286:1]	Generators of the group modulo torsion
j	17029316176/6125625	j-invariant
L	3.4490294953967	L(r)(E,1)/r!
Ω	0.5119561216908	Real period
R	3.3684815448694	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	13200u2 52800cq2 19800bh2 1320m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6600a2

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

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Quadratic twists for elliptic curve 6600a2

-4	8	-3	5	-11
13200u2	52800cq2	19800bh2	1320m2	72600ck2

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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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