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	2860a	Isogeny class
Conductor	2860	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	-773344000 = -1 · 28 · 53 · 11 · 133	Discriminant
Eigenvalues	2- -2 5+  2 11+ 13- -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1781,28375]	[a1,a2,a3,a4,a6]
Generators	[-31:234:1]	Generators of the group modulo torsion
j	-2441851961344/3020875	j-invariant
L	2.3250553253586	L(r)(E,1)/r!
Ω	1.590949234941	Real period
R	1.461426470622	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11440m1 45760w1 25740h1 14300c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2860a1

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
-	-2	+	2	+	-	-3	5	-6	-6	2	5	9	-1	-3	0	-12	8	5	12	2	-10	-6	0	-1

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Quadratic twists for elliptic curve 2860a1

-4	8	-3	5	-11	13
11440m1	45760w1	25740h1	14300c1	31460e1	37180i1

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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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