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	1760l	Isogeny class
Conductor	1760	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	440000000000 = 212 · 510 · 11	Discriminant
Eigenvalues	2- -2 5-  0 11+  4 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4225,99375]	[a1,a2,a3,a4,a6]
Generators	[25:100:1]	Generators of the group modulo torsion
j	2036792051776/107421875	j-invariant
L	2.2523249565155	L(r)(E,1)/r!
Ω	0.92752100246105	Real period
R	0.48566554299886	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	1760n2 3520ba1 15840k2 8800c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1760l2

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
-	-2	-	0	+	4	-4	-4	-2	6	-4	2	-2	-4	2	2	4	-2	-10	-8	4	-16	4	-10	-18

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Quadratic twists for elliptic curve 1760l2

-4	8	-3	5	-7	-11
1760n2	3520ba1	15840k2	8800c2	86240bd2	19360m2

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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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