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	8	Product of Tamagawa factors cp
deg	42240	Modular degree for the optimal curve
Δ	-3566214843750000 = -1 · 24 · 35 · 512 · 13 · 172	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4 13- 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1813,-2874083]	[a1,a2,a3,a4,a6]
j	-659616269778649/3566214843750000	j-invariant
L	0.40363415549114	L(r)(E,1)/r!
Ω	0.20181707774557	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	53040cn1 19890bh1 33150bz1 86190by1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 6630d1

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 6630d1

-4	-3	5	13	17
53040cn1	19890bh1	33150bz1	86190by1	112710bp1

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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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