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	8	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	193600 = 26 · 52 · 112	Discriminant
Eigenvalues	2-  0 5-  0 11+ -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-37,-84]	[a1,a2,a3,a4,a6]
Generators	[95:924:1]	Generators of the group modulo torsion
j	87528384/3025	j-invariant
L	2.9529189993202	L(r)(E,1)/r!
Ω	1.9398585254298	Real period
R	3.0444684090206	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	1760f1 3520d2 15840i1 8800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760j1

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 1760j1

-4	8	-3	5	-7	-11
1760f1	3520d2	15840i1	8800a1	86240t1	19360g1

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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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