Cremona's table of elliptic curves

8760 = 2³ · 3 · 5 · 73

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 73+	Signs for the Atkin-Lehner involutions
Class	8760a	Isogeny class
Conductor	8760	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	27840	Modular degree for the optimal curve
Δ	-235223703889920 = -1 · 211 · 310 · 5 · 733	Discriminant
Eigenvalues	2+ 3- 5+ -2  6  0  7  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3544,-732240]	[a1,a2,a3,a4,a6]
j	2402992139182/114855324165	j-invariant
L	2.6689996208008	L(r)(E,1)/r!
Ω	0.26689996208008	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	17520a1 70080k1 26280i1 43800v1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8760a1

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	6	0	7	1	1	-3	-3	-3	7	-1	8	4	-6	-6	2	0	+	10	0	11	-10

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Quadratic twists for elliptic curve 8760a1

-4	8	-3	5
17520a1	70080k1	26280i1	43800v1

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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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