Cremona's table of elliptic curves

8260 = 2² · 5 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2- 5- 7+ 59+	Signs for the Atkin-Lehner involutions
Class	8260a	Isogeny class
Conductor	8260	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-25903360 = -1 · 28 · 5 · 73 · 59	Discriminant
Eigenvalues	2-  0 5- 7+  1  2  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-167,-866]	[a1,a2,a3,a4,a6]
Generators	[15:2:1]	Generators of the group modulo torsion
j	-2012024016/101185	j-invariant
L	4.3513411527541	L(r)(E,1)/r!
Ω	0.66209426138973	Real period
R	2.1906956992401	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	33040k1 74340h1 41300e1 57820f1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 8260a1

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
-	0	-	+	1	2	3	1	-6	-5	6	-1	-8	2	0	-12	+	5	-14	-12	14	2	9	-5	-4

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Quadratic twists for elliptic curve 8260a1

-4	-3	5	-7
33040k1	74340h1	41300e1	57820f1

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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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