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	1760d	Isogeny class
Conductor	1760	Conductor
∏ cp	5	Product of Tamagawa factors cp
deg	3360	Modular degree for the optimal curve
Δ	-31179473600000 = -1 · 29 · 55 · 117	Discriminant
Eigenvalues	2+ -1 5-  1 11+ -2 -5  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3000,-275000]	[a1,a2,a3,a4,a6]
j	-5833944216008/60897409375	j-invariant
L	1.3999804232973	L(r)(E,1)/r!
Ω	0.27999608465946	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	1760g1 3520w1 15840y1 8800n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760d1

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	-	1	+	-2	-5	7	6	-1	5	11	2	-4	-6	-1	10	5	8	-9	-6	10	6	17	16

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Quadratic twists for elliptic curve 1760d1

-4	8	-3	5	-7	-11
1760g1	3520w1	15840y1	8800n1	86240b1	19360y1

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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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