Cremona's table of elliptic curves

6256 = 2⁴ · 17 · 23

Field	Data	Notes
Atkin-Lehner	2+ 17+ 23+	Signs for the Atkin-Lehner involutions
Class	6256a	Isogeny class
Conductor	6256	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	165630052352 = 211 · 172 · 234	Discriminant
Eigenvalues	2+  2 -4  4 -2  2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3040,62496]	[a1,a2,a3,a4,a6]
Generators	[90:714:1]	Generators of the group modulo torsion
j	1517600157122/80874049	j-invariant
L	4.8565843418986	L(r)(E,1)/r!
Ω	1.0059931770677	Real period
R	2.4138256862013	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	3128a2 25024k2 56304q2 106352f2	Quadratic twists by: -4 8 -3 17

Hecke Eigenvalues for elliptic curve 6256a2

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	-4	4	-2	2	+	0	+	0	-4	-8	-2	-4	-8	-2	-8	0	4	-8	10	16	12	10	-2

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Quadratic twists for elliptic curve 6256a2

-4	8	-3	17
3128a2	25024k2	56304q2	106352f2

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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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