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	8760b	Isogeny class
Conductor	8760	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-184170240000 = -1 · 211 · 33 · 54 · 732	Discriminant
Eigenvalues	2- 3+ 5+  4  4 -4 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,544,-20244]	[a1,a2,a3,a4,a6]
j	8677445182/89926875	j-invariant
L	1.9941850239187	L(r)(E,1)/r!
Ω	0.49854625597967	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	17520e2 70080z2 26280d2 43800r2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8760b2

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
-	+	+	4	4	-4	-4	4	4	6	0	-2	-10	2	10	6	4	-10	8	-8	+	8	16	-6	-2

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Quadratic twists for elliptic curve 8760b2

-4	8	-3	5
17520e2	70080z2	26280d2	43800r2

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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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