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	2	Product of Tamagawa factors cp
Δ	-37480960 = -1 · 29 · 5 · 114	Discriminant
Eigenvalues	2-  0 5-  0 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,13,-294]	[a1,a2,a3,a4,a6]
Generators	[1590:3059:216]	Generators of the group modulo torsion
j	474552/73205	j-invariant
L	2.9529189993202	L(r)(E,1)/r!
Ω	0.9699292627149	Real period
R	6.0889368180412	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1760f4 3520d4 15840i4 8800a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760j4

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 1760j4

-4	8	-3	5	-7	-11
1760f4	3520d4	15840i4	8800a4	86240t2	19360g4

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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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