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
deg	576	Modular degree for the optimal curve
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,-116,235]	[a1,a2,a3,a4,a6]
j	35937/17	j-invariant
L	1.7163308857418	L(r)(E,1)/r!
Ω	1.7163308857418	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	45968p1 25857i1 71825h1 17a4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 2873a1

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 2873a1

-4	-3	5	13	17
45968p1	25857i1	71825h1	17a4	48841a1

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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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