Cremona's table of elliptic curves

3256 = 2³ · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 11+ 37-	Signs for the Atkin-Lehner involutions
Class	3256a	Isogeny class
Conductor	3256	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-833536 = -1 · 211 · 11 · 37	Discriminant
Eigenvalues	2-  2  1 -2 11+ -2 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,0,44]	[a1,a2,a3,a4,a6]
Generators	[5:12:1]	Generators of the group modulo torsion
j	-2/407	j-invariant
L	4.5567398030176	L(r)(E,1)/r!
Ω	2.2455837161694	Real period
R	2.0292005905665	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	6512a1 26048d1 29304d1 81400b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3256a1

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	1	-2	+	-2	-3	2	-6	-2	-6	-	0	8	-9	0	12	-8	-2	9	6	1	13	-16	8

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Quadratic twists for elliptic curve 3256a1

-4	8	-3	5	-11	37
6512a1	26048d1	29304d1	81400b1	35816b1	120472c1

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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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