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	8	Product of Tamagawa factors cp
deg	1056	Modular degree for the optimal curve
Δ	197946320 = 24 · 5 · 114 · 132	Discriminant
Eigenvalues	2-  2 5+ -2 11- 13-  6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-241,-1194]	[a1,a2,a3,a4,a6]
j	97152876544/12371645	j-invariant
L	2.4428617428819	L(r)(E,1)/r!
Ω	1.221430871441	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	11440j1 45760p1 25740g1 14300g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2860b1

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 2860b1

-4	8	-3	5	-11	13
11440j1	45760p1	25740g1	14300g1	31460d1	37180f1

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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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