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	28	Product of Tamagawa factors cp
Δ	101150000000 = 27 · 58 · 7 · 172	Discriminant
Eigenvalues	2-  0 5+ 7+ -4  2 17- -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1381048,625030331]	[a1,a2,a3,a4,a6]
Generators	[681:-239:1]	Generators of the group modulo torsion
j	291306206119284545407569/101150000000	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	2	Number of elements in the torsion subgroup
Twists	9520h3 38080q4 10710j3 5950c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190d4

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 1190d4

-4	8	-3	5	-7	17
9520h3	38080q4	10710j3	5950c4	8330v3	20230q4

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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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