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	1760j	Isogeny class
Conductor	1760	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	28160000 = 212 · 54 · 11	Discriminant
Eigenvalues	2-  0 5-  0 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-92,224]	[a1,a2,a3,a4,a6]
Generators	[-10:12:1]	Generators of the group modulo torsion
j	21024576/6875	j-invariant
L	2.9529189993202	L(r)(E,1)/r!
Ω	1.9398585254298	Real period
R	1.5222342045103	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1760f2 3520d1 15840i2 8800a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760j3

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
-	0	-	0	+	-2	-2	4	0	-6	-4	-10	-6	-4	8	6	-12	2	-8	12	-2	8	12	-6	-6

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Quadratic twists for elliptic curve 1760j3

-4	8	-3	5	-7	-11
1760f2	3520d1	15840i2	8800a3	86240t3	19360g2

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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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