Cremona's table of elliptic curves

1760 = 2⁵ · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	1760f	Isogeny class
Conductor	1760	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	28160 = 29 · 5 · 11	Discriminant
Eigenvalues	2+  0 5-  0 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-587,5474]	[a1,a2,a3,a4,a6]
Generators	[50:318:1]	Generators of the group modulo torsion
j	43688592648/55	j-invariant
L	2.9697458586054	L(r)(E,1)/r!
Ω	3.163487560955	Real period
R	3.7550277045615	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	1760j2 3520a3 15840s2 8800u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760f3

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	-	0	-	-2	-2	-4	0	-6	4	-10	-6	4	-8	6	12	2	8	-12	-2	-8	-12	-6	-6

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Quadratic twists for elliptic curve 1760f3

-4	8	-3	5	-7	-11
1760j2	3520a3	15840s2	8800u3	86240f4	19360v2

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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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