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	3330g	Isogeny class
Conductor	3330	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-998001000000 = -1 · 26 · 36 · 56 · 372	Discriminant
Eigenvalues	2+ 3- 5+  2  0  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,2205,26325]	[a1,a2,a3,a4,a6]
Generators	[-2:149:1]	Generators of the group modulo torsion
j	1625964918479/1369000000	j-invariant
L	2.5896385841142	L(r)(E,1)/r!
Ω	0.56909152826104	Real period
R	1.1376195460277	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	26640bg2 106560cp2 370d2 16650bz2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330g2

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

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Quadratic twists for elliptic curve 3330g2

-4	8	-3	5	37
26640bg2	106560cp2	370d2	16650bz2	123210dj2

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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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