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	2064i	Isogeny class
Conductor	2064	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	93601640448 = 212 · 312 · 43	Discriminant
Eigenvalues	2- 3+  2  0  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3912,-91728]	[a1,a2,a3,a4,a6]
Generators	[-978:910:27]	Generators of the group modulo torsion
j	1616855892553/22851963	j-invariant
L	2.8923271070208	L(r)(E,1)/r!
Ω	0.60417426208028	Real period
R	4.7872398553721	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	129b3 8256bm3 6192x3 51600cq4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2064i3

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	0	-2	-6	-4	4	-6	-8	6	2	-	-4	-2	0	14	-12	-8	2	8	0	14	-14

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Quadratic twists for elliptic curve 2064i3

-4	8	-3	5	-7	-43
129b3	8256bm3	6192x3	51600cq4	101136da4	88752bg4

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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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