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	6630t	Isogeny class
Conductor	6630	Conductor
∏ cp	768	Product of Tamagawa factors cp
Δ	-7728836230440000 = -1 · 26 · 34 · 54 · 134 · 174	Discriminant
Eigenvalues	2- 3+ 5- -4 -4 13- 17-  8	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,2210,-4228645]	[a1,a2,a3,a4,a6]
Generators	[173:1083:1]	Generators of the group modulo torsion
j	1193680917131039/7728836230440000	j-invariant
L	4.8169354006547	L(r)(E,1)/r!
Ω	0.19263046949133	Real period
R	0.52096026714761	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	53040db3 19890i4 33150o3 86190g3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630t4

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

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Quadratic twists for elliptic curve 6630t4

-4	-3	5	13	17
53040db3	19890i4	33150o3	86190g3	112710ct3

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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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