Cremona's table of elliptic curves

1190 = 2 · 5 · 7 · 17

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 17-	Signs for the Atkin-Lehner involutions
Class	1190d	Isogeny class
Conductor	1190	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	-13576123187200 = -1 · 228 · 52 · 7 · 172	Discriminant
Eigenvalues	2-  0 5+ 7+ -4  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4408,211131]	[a1,a2,a3,a4,a6]
Generators	[-75:377:1]	Generators of the group modulo torsion
j	-9470133471933009/13576123187200	j-invariant
L	3.322869526343	L(r)(E,1)/r!
Ω	0.63588674478129	Real period
R	0.74650973701882	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	9520h1 38080q1 10710j1 5950c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190d1

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	+	+	-4	2	-	-8	0	-2	-8	-2	2	4	-8	-2	0	2	4	0	-14	8	16	10	-14

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Quadratic twists for elliptic curve 1190d1

-4	8	-3	5	-7	17
9520h1	38080q1	10710j1	5950c1	8330v1	20230q1

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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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