Cremona's table of elliptic curves

2064 = 2⁴ · 3 · 43

Field	Data	Notes
Atkin-Lehner	2- 3+ 43+	Signs for the Atkin-Lehner involutions
Class	2064g	Isogeny class
Conductor	2064	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-549552384 = -1 · 28 · 33 · 433	Discriminant
Eigenvalues	2- 3+  3 -5  3 -1 -6  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-7604,257772]	[a1,a2,a3,a4,a6]
j	-189962197148752/2146689	j-invariant
L	1.4889072181635	L(r)(E,1)/r!
Ω	1.4889072181635	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	516d2 8256bt2 6192t2 51600dp2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2064g2

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
-	+	3	-5	3	-1	-6	7	0	3	4	8	-12	+	3	12	12	8	-2	6	-10	-8	3	-6	17

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Quadratic twists for elliptic curve 2064g2

-4	8	-3	5	-7	-43
516d2	8256bt2	6192t2	51600dp2	101136cs2	88752bl2

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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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