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	1760a	Isogeny class
Conductor	1760	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1120	Modular degree for the optimal curve
Δ	-440000000 = -1 · 29 · 57 · 11	Discriminant
Eigenvalues	2+ -1 5+  3 11+ -2  7 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3256,-70444]	[a1,a2,a3,a4,a6]
Generators	[68:134:1]	Generators of the group modulo torsion
j	-7458308028872/859375	j-invariant
L	2.476248244038	L(r)(E,1)/r!
Ω	0.31599800664805	Real period
R	3.9181390261048	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	1760c1 3520bg1 15840bh1 8800o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760a1

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	7	-5	-2	-3	-5	5	2	-8	-10	1	-2	7	-8	1	-14	10	-14	1	-12

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Quadratic twists for elliptic curve 1760a1

-4	8	-3	5	-7	-11
1760c1	3520bg1	15840bh1	8800o1	86240l1	19360s1

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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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