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
Δ	-4303360000 = -1 · 212 · 54 · 412	Discriminant
Eigenvalues	2- -2 5+ -2 -6  2  2  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-256,3444]	[a1,a2,a3,a4,a6]
Generators	[4:50:1]	Generators of the group modulo torsion
j	-454756609/1050625	j-invariant
L	1.9840364673811	L(r)(E,1)/r!
Ω	1.2258449769691	Real period
R	0.80925259908747	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	205b2 13120bm2 29520bz2 16400u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3280i2

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 3280i2

-4	8	-3	5
205b2	13120bm2	29520bz2	16400u2

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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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