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	3330k	Isogeny class
Conductor	3330	Conductor
∏ cp	54	Product of Tamagawa factors cp
Δ	-1329337332000000000 = -1 · 211 · 38 · 59 · 373	Discriminant
Eigenvalues	2+ 3- 5- -1 -3  2 -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-66276324,207692300880]	[a1,a2,a3,a4,a6]
j	-44164307457093068844199489/1823508000000000	j-invariant
L	1.2081435775444	L(r)(E,1)/r!
Ω	0.20135726292406	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	26640bz2 106560be2 1110n2 16650bx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330k2

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
+	-	-	-1	-3	2	-3	2	0	3	-1	-	-9	11	0	9	6	-1	8	12	8	-4	6	6	-13

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Quadratic twists for elliptic curve 3330k2

-4	8	-3	5	37
26640bz2	106560be2	1110n2	16650bx2	123210cu2

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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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