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	224	Product of Tamagawa factors cp
Δ	53596139570691200 = 27 · 52 · 74 · 178	Discriminant
Eigenvalues	2-  0 5+ 7+ -4  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-102328,5913787]	[a1,a2,a3,a4,a6]
Generators	[-137:4233:1]	Generators of the group modulo torsion
j	118495863754334673489/53596139570691200	j-invariant
L	3.322869526343	L(r)(E,1)/r!
Ω	0.31794337239064	Real period
R	0.1866274342547	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	9520h4 38080q3 10710j4 5950c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190d3

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 1190d3

-4	8	-3	5	-7	17
9520h4	38080q3	10710j4	5950c3	8330v4	20230q3

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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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