Cremona's table of elliptic curves

9790 = 2 · 5 · 11 · 89

Field	Data	Notes
Atkin-Lehner	2- 5+ 11+ 89-	Signs for the Atkin-Lehner involutions
Class	9790k	Isogeny class
Conductor	9790	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	38592	Modular degree for the optimal curve
Δ	2098573444990 = 2 · 5 · 119 · 89	Discriminant
Eigenvalues	2- -3 5+  3 11+  2  5 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-5598,146751]	[a1,a2,a3,a4,a6]
Generators	[254:3:8]	Generators of the group modulo torsion
j	19397674210766769/2098573444990	j-invariant
L	4.256617487328	L(r)(E,1)/r!
Ω	0.80012741378962	Real period
R	5.3199245694726	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	78320bi1 88110bl1 48950h1 107690m1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 9790k1

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
-	-3	+	3	+	2	5	-4	-4	-10	1	8	-3	4	-9	1	-6	-2	-10	-2	-13	9	-16	-	16

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Quadratic twists for elliptic curve 9790k1

-4	-3	5	-11
78320bi1	88110bl1	48950h1	107690m1

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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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