Cremona's table of elliptic curves

2873 = 13² · 17

Field	Data	Notes
Atkin-Lehner	13+ 17-	Signs for the Atkin-Lehner involutions
Class	2873a	Isogeny class
Conductor	2873	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	82055753 = 136 · 17	Discriminant
Eigenvalues	1  0  2 -4  0 13+ 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-15326,-726465]	[a1,a2,a3,a4,a6]
j	82483294977/17	j-invariant
L	1.7163308857418	L(r)(E,1)/r!
Ω	0.42908272143544	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	45968p4 25857i4 71825h4 17a3	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2873a3

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	-4	0	+	-	4	4	6	-4	2	6	4	0	6	12	-10	-4	4	6	12	4	-10	-2

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Quadratic twists for elliptic curve 2873a3

-4	-3	5	13	17
45968p4	25857i4	71825h4	17a3	48841a4

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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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