Cremona's table of elliptic curves

13260 = 2² · 3 · 5 · 13 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+ 17+	Signs for the Atkin-Lehner involutions
Class	13260f	Isogeny class
Conductor	13260	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-4.1823597486584E+22	Discriminant
Eigenvalues	2- 3+ 5-  2 -2 13+ 17+  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,7018580,-6754625768]	[a1,a2,a3,a4,a6]
Generators	[5074:399330:1]	Generators of the group modulo torsion
j	149359017613560984774704/163373427681970325625	j-invariant
L	4.5424336384623	L(r)(E,1)/r!
Ω	0.061810909659004	Real period
R	3.0620495526342	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	53040cr2 39780n2 66300bh2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 13260f2

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	-4	2	2	-2	-10	-8	6	-2	-6	-2	2	-6	14	-4	2	2	14

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Quadratic twists for elliptic curve 13260f2

-4	-3	5
53040cr2	39780n2	66300bh2

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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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