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	16	Product of Tamagawa factors cp
Δ	-403139914489 = -1 · 136 · 174	Discriminant
Eigenvalues	1  0  2 -4  0 13+ 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-116,-30523]	[a1,a2,a3,a4,a6]
j	-35937/83521	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	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	45968p3 25857i3 71825h3 17a1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2873a4

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 2873a4

-4	-3	5	13	17
45968p3	25857i3	71825h3	17a1	48841a3

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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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