Cremona's table of elliptic curves

3330 = 2 · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	3330f	Isogeny class
Conductor	3330	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-7.4667023738849E+19	Discriminant
Eigenvalues	2+ 3- 5+  0 -4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,1048275,-46998419]	[a1,a2,a3,a4,a6]
Generators	[89445:4042427:125]	Generators of the group modulo torsion
j	174751791402194852399/102423900876336360	j-invariant
L	2.3226521327537	L(r)(E,1)/r!
Ω	0.11406403591359	Real period
R	5.0906758518374	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	26640be5 106560cl5 1110k6 16650bu6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330f6

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

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Quadratic twists for elliptic curve 3330f6

-4	8	-3	5	37
26640be5	106560cl5	1110k6	16650bu6	123210dh5

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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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