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	4256b	Isogeny class
Conductor	4256	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-143061184 = -1 · 26 · 76 · 19	Discriminant
Eigenvalues	2-  0  2 7-  0 -4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-89,-660]	[a1,a2,a3,a4,a6]
j	-1218186432/2235331	j-invariant
L	2.1977689875392	L(r)(E,1)/r!
Ω	0.73258966251306	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4256a1 8512c2 38304w1 106400f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4256b1

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 4256b1

-4	8	-3	5	-7	-19
4256a1	8512c2	38304w1	106400f1	29792i1	80864d1

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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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