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	1190f	Isogeny class
Conductor	1190	Conductor
∏ cp	66	Product of Tamagawa factors cp
deg	528	Modular degree for the optimal curve
Δ	-213248000 = -1 · 211 · 53 · 72 · 17	Discriminant
Eigenvalues	2- -1 5- 7+ -2 -5 17+ -3	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-895,9957]	[a1,a2,a3,a4,a6]
Generators	[-13:146:1]	Generators of the group modulo torsion
j	-79290863149681/213248000	j-invariant
L	3.1499390881618	L(r)(E,1)/r!
Ω	1.7817891935036	Real period
R	0.026785632102071	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9520n1 38080c1 10710g1 5950e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1190f1

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
-	-1	-	+	-2	-5	+	-3	-2	-5	-3	2	-2	0	-3	11	-11	3	4	3	1	-12	-14	-3	3

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Quadratic twists for elliptic curve 1190f1

-4	8	-3	5	-7	17
9520n1	38080c1	10710g1	5950e1	8330s1	20230l1

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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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