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	1760k	Isogeny class
Conductor	1760	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	96	Modular degree for the optimal curve
Δ	-28160 = -1 · 29 · 5 · 11	Discriminant
Eigenvalues	2-  1 5- -3 11+ -2  5 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,0,8]	[a1,a2,a3,a4,a6]
Generators	[-2:2:1]	Generators of the group modulo torsion
j	-8/55	j-invariant
L	3.23567940956	L(r)(E,1)/r!
Ω	2.9951440637351	Real period
R	0.5401542197481	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	1760m1 3520x1 15840n1 8800b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760k1

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
-	1	-	-3	+	-2	5	-1	-2	-3	-1	-1	-2	-4	-10	-13	-14	7	8	-11	-2	-10	10	-7	12

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Quadratic twists for elliptic curve 1760k1

-4	8	-3	5	-7	-11
1760m1	3520x1	15840n1	8800b1	86240z1	19360i1

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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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