Cremona's table of elliptic curves

2726 = 2 · 29 · 47

Field	Data	Notes
Atkin-Lehner	2+ 29+ 47-	Signs for the Atkin-Lehner involutions
Class	2726c	Isogeny class
Conductor	2726	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1640	Modular degree for the optimal curve
Δ	96347744 = 25 · 29 · 473	Discriminant
Eigenvalues	2+ -2 -3  2  0  5  6  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-290,1812]	[a1,a2,a3,a4,a6]
j	2683880485273/96347744	j-invariant
L	0.62813647847841	L(r)(E,1)/r!
Ω	1.8844094354352	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	21808c1 87232j1 24534s1 68150n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2726c1

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
+	-2	-3	2	0	5	6	5	-9	+	-4	-7	3	-1	-	0	-9	11	-10	6	11	11	12	-12	8

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Quadratic twists for elliptic curve 2726c1

-4	8	-3	5	29	-47
21808c1	87232j1	24534s1	68150n1	79054d1	128122d1

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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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