Cremona's table of elliptic curves

3280 = 2⁴ · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 41-	Signs for the Atkin-Lehner involutions
Class	3280i	Isogeny class
Conductor	3280	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	4198400 = 212 · 52 · 41	Discriminant
Eigenvalues	2- -2 5+ -2 -6  2  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-336,2260]	[a1,a2,a3,a4,a6]
Generators	[2:40:1]	Generators of the group modulo torsion
j	1027243729/1025	j-invariant
L	1.9840364673811	L(r)(E,1)/r!
Ω	2.4516899539381	Real period
R	0.40462629954373	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	205b1 13120bm1 29520bz1 16400u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3280i1

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

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Quadratic twists for elliptic curve 3280i1

-4	8	-3	5
205b1	13120bm1	29520bz1	16400u1

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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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