Cremona's table of elliptic curves

4056 = 2³ · 3 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 13+	Signs for the Atkin-Lehner involutions
Class	4056n	Isogeny class
Conductor	4056	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	99840	Modular degree for the optimal curve
Δ	-926197314581799936 = -1 · 210 · 38 · 1310	Discriminant
Eigenvalues	2- 3+ -3  4 -4 13+  3  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-923472,345005244]	[a1,a2,a3,a4,a6]
j	-616966948/6561	j-invariant
L	1.1228093698893	L(r)(E,1)/r!
Ω	0.28070234247231	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8112p1 32448bn1 12168h1 101400bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4056n1

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
-	+	-3	4	-4	+	3	4	-8	-5	8	-7	9	8	4	-5	-4	-5	-8	4	-11	-4	0	6	14

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Quadratic twists for elliptic curve 4056n1

-4	8	-3	5	13
8112p1	32448bn1	12168h1	101400bm1	4056c1

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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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