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	3264p	Isogeny class
Conductor	3264	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-76406976 = -1 · 26 · 35 · 173	Discriminant
Eigenvalues	2+ 3-  1 -2 -5  5 17- -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-55,431]	[a1,a2,a3,a4,a6]
Generators	[14:51:1]	Generators of the group modulo torsion
j	-292754944/1193859	j-invariant
L	4.0057940341613	L(r)(E,1)/r!
Ω	1.6872263710861	Real period
R	0.15827925652848	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3264f1 1632g1 9792i1 81600g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3264p1

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	-2	-5	5	-	-7	-3	-2	2	8	-7	-5	-8	-4	14	-6	4	-8	-12	14	0	-14	10

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Quadratic twists for elliptic curve 3264p1

-4	8	-3	5	17
3264f1	1632g1	9792i1	81600g1	55488d1

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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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