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	8	Product of Tamagawa factors cp
Δ	28160000 = 212 · 54 · 11	Discriminant
Eigenvalues	2+  0 5-  0 11- -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-92,-224]	[a1,a2,a3,a4,a6]
Generators	[-3:5:1]	Generators of the group modulo torsion
j	21024576/6875	j-invariant
L	2.9697458586054	L(r)(E,1)/r!
Ω	1.5817437804775	Real period
R	0.93875692614038	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	1760j3 3520a1 15840s3 8800u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760f2

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 1760f2

-4	8	-3	5	-7	-11
1760j3	3520a1	15840s3	8800u2	86240f3	19360v3

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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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