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	1760c	Isogeny class
Conductor	1760	Conductor
∏ cp	1	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]
j	-7458308028872/859375	j-invariant
L	1.6069983393161	L(r)(E,1)/r!
Ω	1.6069983393161	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1760a1 3520be1 15840bd1 8800w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760c1

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 1760c1

-4	8	-3	5	-7	-11
1760a1	3520be1	15840bd1	8800w1	86240o1	19360p1

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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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