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	1	Product of Tamagawa factors cp
Δ	-8651500000000 = -1 · 28 · 59 · 113 · 13	Discriminant
Eigenvalues	2- -2 5+  2 11+ 13- -3  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,2379,135079]	[a1,a2,a3,a4,a6]
Generators	[-14:315:1]	Generators of the group modulo torsion
j	5814126903296/33794921875	j-invariant
L	2.3250553253586	L(r)(E,1)/r!
Ω	0.53031641164701	Real period
R	4.3842794118659	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	11440m2 45760w2 25740h2 14300c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2860a2

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 2860a2

-4	8	-3	5	-11	13
11440m2	45760w2	25740h2	14300c2	31460e2	37180i2

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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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