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	96	Product of Tamagawa factors cp
Δ	103216295812500 = 22 · 32 · 56 · 133 · 174	Discriminant
Eigenvalues	2- 3- 5+ -4  0 13- 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-6591000006,-205956849489264]	[a1,a2,a3,a4,a6]
Generators	[1509786056:-651757951888:6859]	Generators of the group modulo torsion
j	31664865542564944883878115208137569/103216295812500	j-invariant
L	6.1140987265173	L(r)(E,1)/r!
Ω	0.016755667231776	Real period
R	15.204056638328	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	53040bp8 19890r7 33150b8 86190bm8	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630w7

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 6630w7

-4	-3	5	13	17
53040bp8	19890r7	33150b8	86190bm8	112710cj8

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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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