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	384	Product of Tamagawa factors cp
Δ	4.4137020266016E+20	Discriminant
Eigenvalues	2- 3- 5+ -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-411937506,-3218101426764]	[a1,a2,a3,a4,a6]
Generators	[29934:3342618:1]	Generators of the group modulo torsion
j	7730680381889320597382223137569/441370202660156250000	j-invariant
L	6.1140987265173	L(r)(E,1)/r!
Ω	0.033511334463552	Real period
R	7.6020283191638	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	53040bp6 19890r6 33150b6 86190bm6	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630w6

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 6630w6

-4	-3	5	13	17
53040bp6	19890r6	33150b6	86190bm6	112710cj6

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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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