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	3264x	Isogeny class
Conductor	3264	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	207920037888 = 224 · 36 · 17	Discriminant
Eigenvalues	2- 3-  0 -2  0 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-16353,-810081]	[a1,a2,a3,a4,a6]
Generators	[-75:12:1]	Generators of the group modulo torsion
j	1845026709625/793152	j-invariant
L	3.8377747567711	L(r)(E,1)/r!
Ω	0.42219121019713	Real period
R	1.5150223658845	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	3264a1 816e1 9792bw1 81600gk1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3264x1

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
-	-	0	-2	0	-2	+	-4	6	0	10	-8	6	-4	-12	-6	-12	-8	-4	-6	2	10	12	-18	14

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Quadratic twists for elliptic curve 3264x1

-4	8	-3	5	17
3264a1	816e1	9792bw1	81600gk1	55488cd1

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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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