Cremona's table of elliptic curves

2926 = 2 · 7 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 7+ 11- 19-	Signs for the Atkin-Lehner involutions
Class	2926a	Isogeny class
Conductor	2926	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	29683013996944 = 24 · 76 · 112 · 194	Discriminant
Eigenvalues	2-  0 -2 7+ 11-  2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-7746,-9679]	[a1,a2,a3,a4,a6]
j	51392959346614257/29683013996944	j-invariant
L	2.2232152849008	L(r)(E,1)/r!
Ω	0.55580382122521	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	23408i2 93632b2 26334o2 73150n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2926a2

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

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Quadratic twists for elliptic curve 2926a2

-4	8	-3	5	-7	-11	-19
23408i2	93632b2	26334o2	73150n2	20482k2	32186h2	55594c2

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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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