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	3330q	Isogeny class
Conductor	3330	Conductor
∏ cp	22	Product of Tamagawa factors cp
deg	1056	Modular degree for the optimal curve
Δ	-276203520 = -1 · 211 · 36 · 5 · 37	Discriminant
Eigenvalues	2- 3- 5+  1 -3  0 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,112,627]	[a1,a2,a3,a4,a6]
Generators	[5:33:1]	Generators of the group modulo torsion
j	214921799/378880	j-invariant
L	4.7645060878609	L(r)(E,1)/r!
Ω	1.1923458110104	Real period
R	0.18163225512204	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	26640bb1 106560dc1 370b1 16650v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3330q1

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	0	-3	-6	-2	3	3	+	-3	-1	-4	-13	0	-15	0	2	0	-8	4	18	-7

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Quadratic twists for elliptic curve 3330q1

-4	8	-3	5	37
26640bb1	106560dc1	370b1	16650v1	123210bm1

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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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