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	864	Product of Tamagawa factors cp
Δ	8.8344175075623E+21	Discriminant
Eigenvalues	2- 3- 5+ -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-81373266,-282504599100]	[a1,a2,a3,a4,a6]
Generators	[-5166:5490:1]	Generators of the group modulo torsion
j	59589391972023341137821784609/8834417507562311995200	j-invariant
L	6.1140987265173	L(r)(E,1)/r!
Ω	0.050267001695327	Real period
R	5.0680188794425	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	53040bp5 19890r4 33150b5 86190bm5	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630w4

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 6630w4

-4	-3	5	13	17
53040bp5	19890r4	33150b5	86190bm5	112710cj5

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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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