Cremona's table of elliptic curves

4256 = 2⁵ · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 7+ 19+	Signs for the Atkin-Lehner involutions
Class	4256a	Isogeny class
Conductor	4256	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	507179008 = 212 · 73 · 192	Discriminant
Eigenvalues	2+  0  2 7+  0 -4  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1804,29472]	[a1,a2,a3,a4,a6]
Generators	[-14:228:1]	Generators of the group modulo torsion
j	158516094528/123823	j-invariant
L	3.8385216203207	L(r)(E,1)/r!
Ω	1.6395547150588	Real period
R	1.1705988171865	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	4256b2 8512a1 38304bj2 106400bw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4256a2

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
+	0	2	+	0	-4	6	+	-4	6	4	-2	0	4	-8	2	-12	2	-2	-14	-10	-10	-12	0	0

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Quadratic twists for elliptic curve 4256a2

-4	8	-3	5	-7	-19
4256b2	8512a1	38304bj2	106400bw2	29792d2	80864h2

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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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