Cremona's table of elliptic curves

2860 = 2² · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 13-	Signs for the Atkin-Lehner involutions
Class	2860c	Isogeny class
Conductor	2860	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-22147840 = -1 · 28 · 5 · 113 · 13	Discriminant
Eigenvalues	2-  0 5-  0 11- 13- -7  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-152,756]	[a1,a2,a3,a4,a6]
Generators	[5:11:1]	Generators of the group modulo torsion
j	-1517101056/86515	j-invariant
L	3.4142842822411	L(r)(E,1)/r!
Ω	2.1165267090775	Real period
R	0.53771811896628	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11440o1 45760a1 25740c1 14300d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2860c1

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
-	0	-	0	-	-	-7	1	2	-8	2	9	1	-9	-7	-12	-10	-2	13	-6	4	-2	6	10	-5

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Quadratic twists for elliptic curve 2860c1

-4	8	-3	5	-11	13
11440o1	45760a1	25740c1	14300d1	31460j1	37180a1

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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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