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	41907496960000 = 214 · 54 · 72 · 174	Discriminant
Eigenvalues	2-  0 5+ 7+ -4  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-86328,9779387]	[a1,a2,a3,a4,a6]
Generators	[137:645:1]	Generators of the group modulo torsion
j	71149857462630609489/41907496960000	j-invariant
L	3.322869526343	L(r)(E,1)/r!
Ω	0.63588674478129	Real period
R	0.37325486850941	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	9520h2 38080q2 10710j2 5950c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190d2

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 1190d2

-4	8	-3	5	-7	17
9520h2	38080q2	10710j2	5950c2	8330v2	20230q2

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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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