Cremona's table of elliptic curves

3283 = 7² · 67

Field	Data	Notes
Atkin-Lehner	7- 67+	Signs for the Atkin-Lehner involutions
Class	3283b	Isogeny class
Conductor	3283	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	103161709 = 73 · 673	Discriminant
Eigenvalues	1  3 -3 7- -2  3  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-121,188]	[a1,a2,a3,a4,a6]
j	573856191/300763	j-invariant
L	3.3155196524301	L(r)(E,1)/r!
Ω	1.657759826215	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	52528by1 29547p1 82075h1 3283c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 3283b1

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	-3	-	-2	3	0	0	5	5	9	-3	3	12	6	-4	12	-6	+	13	-6	-10	6	-12	-18

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Quadratic twists for elliptic curve 3283b1

-4	-3	5	-7
52528by1	29547p1	82075h1	3283c1

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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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