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	6630d	Isogeny class
Conductor	6630	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	3274962248639250 = 2 · 320 · 53 · 13 · 172	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4 13- 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-5010563,-4319046333]	[a1,a2,a3,a4,a6]
j	13911803308617281575038649/3274962248639250	j-invariant
L	0.40363415549114	L(r)(E,1)/r!
Ω	0.10090853887279	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	53040cn4 19890bh4 33150bz4 86190by4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630d3

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
+	+	+	0	-4	-	+	-4	-4	-6	-4	6	-2	4	-8	-2	12	6	-8	0	14	-8	-12	14	-10

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Quadratic twists for elliptic curve 6630d3

-4	-3	5	13	17
53040cn4	19890bh4	33150bz4	86190by4	112710bp4

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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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