Cremona's table of elliptic curves

2717 = 11 · 13 · 19

Field	Data	Notes
Atkin-Lehner	11+ 13- 19+	Signs for the Atkin-Lehner involutions
Class	2717a	Isogeny class
Conductor	2717	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	7382089 = 112 · 132 · 192	Discriminant
Eigenvalues	-1  0 -2  0 11+ 13-  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-906,-10264]	[a1,a2,a3,a4,a6]
j	82159697864817/7382089	j-invariant
L	0.4351382962818	L(r)(E,1)/r!
Ω	0.8702765925636	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	43472v2 24453i2 67925a2 29887f2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 2717a2

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
-1	0	-2	0	+	-	2	+	0	-2	-8	2	-6	-8	0	-2	12	6	4	0	-2	16	-12	6	6

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Quadratic twists for elliptic curve 2717a2

-4	-3	5	-11	13	-19
43472v2	24453i2	67925a2	29887f2	35321d2	51623c2

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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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