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	3330t	Isogeny class
Conductor	3330	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-13662633690 = -1 · 2 · 36 · 5 · 374	Discriminant
Eigenvalues	2- 3- 5-  0  4  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,223,5419]	[a1,a2,a3,a4,a6]
j	1689410871/18741610	j-invariant
L	3.7014684046215	L(r)(E,1)/r!
Ω	0.92536710115538	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	26640bm3 106560bs3 370a4 16650r4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330t4

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

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Quadratic twists for elliptic curve 3330t4

-4	8	-3	5	37
26640bm3	106560bs3	370a4	16650r4	123210x3

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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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