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	4	Product of Tamagawa factors cp
Δ	-24804386893 = -1 · 114 · 13 · 194	Discriminant
Eigenvalues	-1  0 -2  0 11+ 13-  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-841,-11850]	[a1,a2,a3,a4,a6]
j	-65709397066977/24804386893	j-invariant
L	0.4351382962818	L(r)(E,1)/r!
Ω	0.4351382962818	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	43472v3 24453i3 67925a3 29887f3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 2717a4

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 2717a4

-4	-3	5	-11	13	-19
43472v3	24453i3	67925a3	29887f3	35321d3	51623c3

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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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