Cremona's table of elliptic curves

6630 = 2 · 3 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13- 17-	Signs for the Atkin-Lehner involutions
Class	6630w	Isogeny class
Conductor	6630	Conductor
∏ cp	3456	Product of Tamagawa factors cp
deg	276480	Modular degree for the optimal curve
Δ	4.2904970360311E+19	Discriminant
Eigenvalues	2- 3- 5+ -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2096146,1124611076]	[a1,a2,a3,a4,a6]
Generators	[-1636:14078:1]	Generators of the group modulo torsion
j	1018563973439611524445729/42904970360310988800	j-invariant
L	6.1140987265173	L(r)(E,1)/r!
Ω	0.20106800678131	Real period
R	1.2670047198606	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	12	Number of elements in the torsion subgroup
Twists	53040bp1 19890r1 33150b1 86190bm1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630w1

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	0	-	-	-4	0	6	-4	2	6	-4	0	6	-12	-10	-4	-12	-10	-16	-12	-6	-10

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Quadratic twists for elliptic curve 6630w1

-4	-3	5	13	17
53040bp1	19890r1	33150b1	86190bm1	112710cj1

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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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