Cremona's table of elliptic curves

5256 = 2³ · 3² · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 73-	Signs for the Atkin-Lehner involutions
Class	5256i	Isogeny class
Conductor	5256	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	490447872 = 210 · 38 · 73	Discriminant
Eigenvalues	2+ 3- -4 -2  0  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1947,-33050]	[a1,a2,a3,a4,a6]
Generators	[71:432:1]	Generators of the group modulo torsion
j	1093437796/657	j-invariant
L	2.704804149327	L(r)(E,1)/r!
Ω	0.71874316825844	Real period
R	1.8816207713535	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	10512l1 42048bd1 1752l1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 5256i1

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

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Quadratic twists for elliptic curve 5256i1

-4	8	-3
10512l1	42048bd1	1752l1

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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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