Cremona's table of elliptic curves

3264 = 2⁶ · 3 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17-	Signs for the Atkin-Lehner involutions
Class	3264h	Isogeny class
Conductor	3264	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	7093827403776 = 220 · 34 · 174	Discriminant
Eigenvalues	2+ 3+  2  0  4  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-110977,-14192255]	[a1,a2,a3,a4,a6]
j	576615941610337/27060804	j-invariant
L	2.0925805934311	L(r)(E,1)/r!
Ω	0.26157257417888	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	3264bc3 102b3 9792k3 81600cn4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3264h3

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	4	2	-	-4	0	10	8	2	10	-12	0	-6	-12	10	12	0	10	-8	-4	-6	-14

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Quadratic twists for elliptic curve 3264h3

-4	8	-3	5	17
3264bc3	102b3	9792k3	81600cn4	55488bl4

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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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