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	1760n	Isogeny class
Conductor	1760	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	24200000 = 26 · 55 · 112	Discriminant
Eigenvalues	2-  2 5-  0 11-  4 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4170,-102268]	[a1,a2,a3,a4,a6]
j	125330290485184/378125	j-invariant
L	2.9704821383554	L(r)(E,1)/r!
Ω	0.59409642767108	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1760l1 3520t2 15840b1 8800h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760n1

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
-	2	-	0	-	4	-4	4	2	6	4	2	-2	4	-2	2	-4	-2	10	8	4	16	-4	-10	-18

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Quadratic twists for elliptic curve 1760n1

-4	8	-3	5	-7	-11
1760l1	3520t2	15840b1	8800h1	86240bo1	19360l1

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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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