Cremona's table of elliptic curves

2556 = 2² · 3² · 71

Field	Data	Notes
Atkin-Lehner	2- 3+ 71+	Signs for the Atkin-Lehner involutions
Class	2556a	Isogeny class
Conductor	2556	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	25400832768 = 28 · 39 · 712	Discriminant
Eigenvalues	2- 3+  4  2  4  6 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-783,3510]	[a1,a2,a3,a4,a6]
j	10536048/5041	j-invariant
L	3.1880371509159	L(r)(E,1)/r!
Ω	1.0626790503053	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	10224k2 40896e2 2556b2 63900a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2556a2

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	4	6	-6	-4	8	0	-2	-6	-6	8	0	-6	-4	-6	-14	+	-14	-8	16	-12	6

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Quadratic twists for elliptic curve 2556a2

-4	8	-3	5	-7
10224k2	40896e2	2556b2	63900a2	125244b2

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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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