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	2860b	Isogeny class
Conductor	2860	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-22117638400 = -1 · 28 · 52 · 112 · 134	Discriminant
Eigenvalues	2-  2 5+ -2 11- 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,364,-6760]	[a1,a2,a3,a4,a6]
j	20777545136/86397025	j-invariant
L	2.4428617428819	L(r)(E,1)/r!
Ω	0.61071543572049	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	11440j2 45760p2 25740g2 14300g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2860b2

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	-	-	6	0	2	-2	8	2	6	-2	10	-14	0	2	10	0	14	16	-14	10	18

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Quadratic twists for elliptic curve 2860b2

-4	8	-3	5	-11	13
11440j2	45760p2	25740g2	14300g2	31460d2	37180f2

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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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