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	5256j	Isogeny class
Conductor	5256	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	11934231552 = 210 · 37 · 732	Discriminant
Eigenvalues	2- 3-  0 -2  0  2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-795,-6842]	[a1,a2,a3,a4,a6]
Generators	[-13:36:1]	Generators of the group modulo torsion
j	74438500/15987	j-invariant
L	3.6989848478211	L(r)(E,1)/r!
Ω	0.91279278904445	Real period
R	1.0130954396817	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	10512b2 42048b2 1752b2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 5256j2

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	2	0	4	-8	4	2	6	-6	2	-8	0	0	10	0	-16	+	0	12	-10	-2

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Quadratic twists for elliptic curve 5256j2

-4	8	-3
10512b2	42048b2	1752b2

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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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